Use Product Rule : \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Solv{e}^{3}f{o}^{2}ry{\imath }^{2}{n}^{2}{t}^{2}hqua\times {125}^{y+1}+{5}^{3y}=630\]
Use Square Rule : \({i}^{2}=-1\).
\[Solv{e}^{3}f{o}^{2}ry\times -1\times {n}^{2}{t}^{2}hqua\times {125}^{y+1}+{5}^{3y}=630\]
Simplify \(Solv{e}^{3}f{o}^{2}ry\times -1\times {n}^{2}{t}^{2}hqua\times {125}^{y+1}\) to \(Solv{e}^{3}f{o}^{2}ry\times -{n}^{2}{t}^{2}hqua\times {125}^{y+1}\).
\[Solv{e}^{3}f{o}^{2}ry\times -{n}^{2}{t}^{2}hqua\times {125}^{y+1}+{5}^{3y}=630\]
Regroup terms.
\[-So{e}^{3}lvf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}+{5}^{3y}=630\]
Subtract \({5}^{3y}\) from both sides.
\[-So{e}^{3}lvf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=630-{5}^{3y}\]
Divide both sides by \(-So\).
\[{e}^{3}lvf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So}\]
Divide both sides by \({e}^{3}\).
\[lvf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So}}{{e}^{3}}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So}}{{e}^{3}}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}}\).
\[lvf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}}\]
Divide both sides by \(v\).
\[lf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}}}{v}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}}}{v}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}v}\).
\[lf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}v}\]
Divide both sides by \(f\).
\[l{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}v}}{f}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}v}}{f}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf}\).
\[l{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf}\]
Divide both sides by \({o}^{2}\).
\[lry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf}}{{o}^{2}}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf}}{{o}^{2}}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}}\).
\[lry{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}}\]
Divide both sides by \(r\).
\[ly{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}}}{r}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}}}{r}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}r}\).
\[ly{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}r}\]
Divide both sides by \(y\).
\[l{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}r}}{y}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}r}}{y}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry}\).
\[l{n}^{2}{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry}\]
Divide both sides by \({n}^{2}\).
\[l{t}^{2}hqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry}}{{n}^{2}}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry}}{{n}^{2}}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}}\).
\[l{t}^{2}hqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}}\]
Divide both sides by \({t}^{2}\).
\[lhqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}}}{{t}^{2}}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}}}{{t}^{2}}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}}\).
\[lhqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}}\]
Divide both sides by \(h\).
\[lqua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}}}{h}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}}}{h}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}h}\).
\[lqua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}h}\]
Divide both sides by \(q\).
\[lua\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}h}}{q}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}h}}{q}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hq}\).
\[lua\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hq}\]
Divide both sides by \(u\).
\[la\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hq}}{u}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hq}}{u}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqu}\).
\[la\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqu}\]
Divide both sides by \(a\).
\[l\times {125}^{y+1}=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqu}}{a}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqu}}{a}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua}\).
\[l\times {125}^{y+1}=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua}\]
Divide both sides by \({125}^{y+1}\).
\[l=-\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua}}{{125}^{y+1}}\]
Simplify \(\frac{\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua}}{{125}^{y+1}}\) to \(\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}}\).
\[l=-\frac{630-{5}^{3y}}{So{e}^{3}vf{o}^{2}ry{n}^{2}{t}^{2}hqua\times {125}^{y+1}}\]
l=-(630-5^(3*y))/(So*e^3*v*f*o^2*r*y*n^2*t^2*h*q*u*a*125^(y+1))
