Regroup terms.
\[fx=7{x}^{3}+funnnnkssyaagghoolt\sin{5x}\imath \imath \imath \sin{\imath }\pi \]
Simplify \(funnnnkssyaagghoolt\sin{5x}\imath \imath \imath \sin{\imath }\pi \) to \(fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\imath \imath \imath \sin{\imath }\pi \).
\[fx=7{x}^{3}+fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\imath \imath \imath \sin{\imath }\pi \]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[fx=7{x}^{3}+fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}{\imath }^{3}\sin{\imath }\pi \]
Isolate \({\imath }^{2}\).
\[fx=7{x}^{3}+fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}{\imath }^{2}\imath \sin{\imath }\pi \]
Use Square Rule: \({i}^{2}=-1\).
\[fx=7{x}^{3}+fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\times -1\times \imath \sin{\imath }\pi \]
Simplify \(fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\times -1\times \imath \sin{\imath }\pi \) to \(fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\times -\imath \sin{\imath }\pi \).
\[fx=7{x}^{3}+fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\times -\imath \sin{\imath }\pi \]
Regroup terms.
\[fx=7{x}^{3}-\sin{\imath }\pi \imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Subtract \(7{x}^{3}\) from both sides.
\[fx-7{x}^{3}=-\sin{\imath }\pi \imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Factor out the common term \(x\).
\[x(f-7{x}^{2})=-\sin{\imath }\pi \imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(-\sin{\imath }\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }}=\pi \imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(\pi \).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }}}{\pi }=\imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }}}{\pi }\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi }\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi }=\imath fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(\imath \).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi }}{\imath }=fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi }}{\imath }\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath }\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath }=fu{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(f\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath }}{f}=u{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath }}{f}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f}=u{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \({n}^{4}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f}}{{n}^{4}}=uk{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f}}{{n}^{4}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}}=uk{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(k\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}}}{k}=u{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}}}{k}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k}=u{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \({s}^{2}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k}}{{s}^{2}}=uy{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k}}{{s}^{2}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}}=uy{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \(y\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}}}{y}=u{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}}}{y}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y}=u{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \({a}^{2}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y}}{{a}^{2}}=u{g}^{2}h{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y}}{{a}^{2}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}}=u{g}^{2}h{o}^{2}lt\sin{5x}\]
Divide both sides by \({g}^{2}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}}}{{g}^{2}}=uh{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}}}{{g}^{2}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}}=uh{o}^{2}lt\sin{5x}\]
Divide both sides by \(h\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}}}{h}=u{o}^{2}lt\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}}}{h}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h}=u{o}^{2}lt\sin{5x}\]
Divide both sides by \({o}^{2}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h}}{{o}^{2}}=ult\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h}}{{o}^{2}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}}=ult\sin{5x}\]
Divide both sides by \(l\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}}}{l}=ut\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}}}{l}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}l}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}l}=ut\sin{5x}\]
Divide both sides by \(t\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}l}}{t}=u\sin{5x}\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}l}}{t}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt}=u\sin{5x}\]
Divide both sides by \(\sin{5x}\).
\[-\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt}}{\sin{5x}}=u\]
Simplify \(\frac{\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt}}{\sin{5x}}\) to \(\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}}\).
\[-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}}=u\]
Switch sides.
\[u=-\frac{x(f-7{x}^{2})}{\sin{\imath }\pi \imath f{n}^{4}k{s}^{2}y{a}^{2}{g}^{2}h{o}^{2}lt\sin{5x}}\]
u=-(x*(f-7*x^2))/(sin(IM)*PI*IM*f*n^4*k*s^2*y*a^2*g^2*h*o^2*l*t*sin(5*x))
