First, distribute the y into the parentheses;
[tex] y(y-36)=-66\\y^{2}-36=-66[/tex]
Set all equal to 0;
[tex] y^{2}-36y=-66\\y^{2}-36y+66=0[/tex]
That can't be factored normally, so use the quadratic formula;
[tex]\frac{-b(+-)\sqrt{b^{2}-4ac}}{2a}\\\\
\frac{-(-36)(+-)\sqrt{(-36)^{2}-4(1)(66)}}{2*1}\\\\
\frac{36(+-)\sqrt{1296-264)}}{2}\\\\
\frac{18(+-)\sqrt{1034}}{1}\\\\
18(+-)\sqrt{1034}[/tex]
The square root of 1034 cannot be simplified, so the solution(s) are:
[tex] y = 18+\sqrt{1034}=50.155870... [/tex]
and
[tex] y=18-\sqrt{1034} = -14.155870...[/tex]
