\[
\frac{x^{2}}{5}\left(5-\frac{5}{x}\right)=6
\]
(1) Use this rule: \(\frac{a}{b} \times c=\frac{a c}{b}\).
\[
\frac{x^{2}\left(5-\frac{5}{x}\right)}{5}=6
\]
(2) Factor out the common term 5 .
\[
\frac{x^{2} \times 5\left(1-\frac{1}{x}\right)}{5}=6
\]
3 Regroup terms.
\[
\frac{5 x^{2}\left(1-\frac{1}{x}\right)}{5}=6
\]
4 Cancel 5 .
\[
x^{2}\left(1-\frac{1}{x}\right)=6
\]
(5) Expand.
\[
x^{2}-x=6
\]
6 Move all terms to one side.
\[
x^{2}-x-6=0
\]
7 Factor \(x^{2}-x-6\)
\[
(x-3)(x+2)=0
\]
8 Solve for \(x\).
\[
x=3,-2
\]