Regroup terms.
\[rrrcctoonddvxCoe\imath eesEx\imath =16{x}^{2}-25-(2x+3)(10-8x)\]
Simplify \(rrrcctoonddvxCoe\imath eesEx\imath \) to \({r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCoe\imath eesEx\imath \).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCoe\imath eesEx\imath =16{x}^{2}-25-(2x+3)(10-8x)\]
Use Product Rule : \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCo{e}^{3}{\imath }^{2}sEx=16{x}^{2}-25-(2x+3)(10-8x)\]
Use Square Rule : \({i}^{2}=-1\).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCo{e}^{3}\times -1\times sEx=16{x}^{2}-25-(2x+3)(10-8x)\]
Simplify \({r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCo{e}^{3}\times -1\times sEx\) to \({r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCo{e}^{3}\times -sEx\).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vxCo{e}^{3}\times -sEx=16{x}^{2}-25-(2x+3)(10-8x)\]
Regroup terms.
\[-Co{e}^{3}sEx{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=16{x}^{2}-25-(2x+3)(10-8x)\]
Divide both sides by \(-Co\).
\[{e}^{3}sEx{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co}\]
Divide both sides by \({e}^{3}\).
\[sEx{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co}}{{e}^{3}}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co}}{{e}^{3}}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}}\).
\[sEx{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}}\]
Divide both sides by \(sEx\).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}}}{sEx}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}}}{sEx}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx}\).
\[{r}^{3}{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx}\]
Divide both sides by \({r}^{3}\).
\[{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx}}{{r}^{3}}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx}}{{r}^{3}}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}}\).
\[{c}^{2}t{o}^{2}n{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}}\]
Divide both sides by \({c}^{2}\).
\[t{o}^{2}n{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}}}{{c}^{2}}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}}}{{c}^{2}}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}}\).
\[t{o}^{2}n{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}}\]
Divide both sides by \({o}^{2}\).
\[tn{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}}}{{o}^{2}}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}}}{{o}^{2}}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}}\).
\[tn{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}}\]
Divide both sides by \(n\).
\[t{d}^{2}vx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}}}{n}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}}}{n}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n}\).
\[t{d}^{2}vx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n}\]
Divide both sides by \({d}^{2}\).
\[tvx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n}}{{d}^{2}}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n}}{{d}^{2}}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}}\).
\[tvx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}}\]
Divide both sides by \(v\).
\[tx=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}}}{v}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}}}{v}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}v}\).
\[tx=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}v}\]
Divide both sides by \(x\).
\[t=-\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}v}}{x}\]
Simplify \(\frac{\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}v}}{x}\) to \(\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}vx}\).
\[t=-\frac{16{x}^{2}-25-(2x+3)(10-8x)}{Co{e}^{3}sEx{r}^{3}{c}^{2}{o}^{2}n{d}^{2}vx}\]
t=-(16*x^2-25-(2*x+3)*(10-8*x))/(Co*e^3*sEx*r^3*c^2*o^2*n*d^2*v*x)
