Question

$$1.2.2 x ( x - 1 ) + 3 ( x - 1 ) = 5$$

Answer

$$f=(1.3636363636364-2.2727272727273/(x-1))/(a^2*c*t^2*o^2*r*s*n*x)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2.2f{a}^{2}c{t}^{2}{o}^{2}r{\imath }^{2}snx(x-1)+3(x-1)=5\]
Use Square Rule: \({i}^{2}=-1\).
\[2.2f{a}^{2}c{t}^{2}{o}^{2}r\times -1\times snx(x-1)+3(x-1)=5\]
Simplify  \(2.2f{a}^{2}c{t}^{2}{o}^{2}r\times -1\times snx(x-1)\)  to  \((-2.2)f{a}^{2}c{t}^{2}{o}^{2}rsnx(x-1)\).
\[-2.2f{a}^{2}c{t}^{2}{o}^{2}rsnx(x-1)+3(x-1)=5\]
Factor out the common term \(x-1\).
\[-(x-1)(2.2f{a}^{2}c{t}^{2}{o}^{2}rsnx-3)=5\]
Divide both sides by \(-(x-1)\).
\[2.2f{a}^{2}c{t}^{2}{o}^{2}rsnx-3=-\frac{5}{x-1}\]
Add \(3\) to both sides.
\[2.2f{a}^{2}c{t}^{2}{o}^{2}rsnx=-\frac{5}{x-1}+3\]
Regroup terms.
\[2.2f{a}^{2}c{t}^{2}{o}^{2}rsnx=3-\frac{5}{x-1}\]
Divide both sides by \(2.2\).
\[f{a}^{2}c{t}^{2}{o}^{2}rsnx=\frac{3-\frac{5}{x-1}}{2.2}\]
Simplify  \(\frac{3-\frac{5}{x-1}}{2.2}\)  to  \(\frac{3}{2.2}-\frac{\frac{5}{x-1}}{2.2}\).
\[f{a}^{2}c{t}^{2}{o}^{2}rsnx=\frac{3}{2.2}-\frac{\frac{5}{x-1}}{2.2}\]
Simplify  \(\frac{3}{2.2}\)  to  \(1.363636\).
\[f{a}^{2}c{t}^{2}{o}^{2}rsnx=1.363636-\frac{\frac{5}{x-1}}{2.2}\]
Simplify  \(\frac{\frac{5}{x-1}}{2.2}\)  to  \(\frac{2.272727}{x-1}\).
\[f{a}^{2}c{t}^{2}{o}^{2}rsnx=1.363636-\frac{2.272727}{x-1}\]
Divide both sides by \({a}^{2}\).
\[fc{t}^{2}{o}^{2}rsnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}}\]
Divide both sides by \(c\).
\[f{t}^{2}{o}^{2}rsnx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}}}{c}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}}}{c}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c}\).
\[f{t}^{2}{o}^{2}rsnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c}\]
Divide both sides by \({t}^{2}\).
\[f{o}^{2}rsnx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c}}{{t}^{2}}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c}}{{t}^{2}}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}}\).
\[f{o}^{2}rsnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}}\]
Divide both sides by \({o}^{2}\).
\[frsnx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}}}{{o}^{2}}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}}}{{o}^{2}}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}}\).
\[frsnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}}\]
Divide both sides by \(r\).
\[fsnx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}}}{r}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}}}{r}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}r}\).
\[fsnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}r}\]
Divide both sides by \(s\).
\[fnx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}r}}{s}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}r}}{s}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rs}\).
\[fnx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rs}\]
Divide both sides by \(n\).
\[fx=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rs}}{n}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rs}}{n}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsn}\).
\[fx=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsn}\]
Divide both sides by \(x\).
\[f=\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsn}}{x}\]
Simplify  \(\frac{\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsn}}{x}\)  to  \(\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsnx}\).
\[f=\frac{1.363636-\frac{2.272727}{x-1}}{{a}^{2}c{t}^{2}{o}^{2}rsnx}\]