[tex]\bf 4(2x-1)^2=36\implies (2x-1)^2=\cfrac{36}{4}\implies (2x-1)^2=9
\\\\\\
\sqrt{(2x-1)^2}=\sqrt{9}\implies 2x-1=\pm 3\implies 2x = \pm 3 +1
\\\\\\
x=\cfrac{\pm 3 +1}{2}\implies x=
\begin{cases}
\cfrac{4}{2}\implies &2\\\\
\cfrac{-2}{2}\implies &-1
\end{cases}[/tex]
