Find all real solutions of the equation. (Enter your answers as a comma-separated list.) \[ (2 x-3)^{2}=81 \] \( x=\square \)

Solve the equation \( (2x-3)^2=81 \). Solve the quadratic equation by following steps: - step0: Solve using square roots: \(\left(2x-3\right)^{2}=81\) - step1: Simplify the expression: \(2x-3=\pm \sqrt{81}\) - step2: Simplify the expression: \(2x-3=\pm 9\) - step3: Separate into possible cases: \(\begin{align}&2x-3=9\\&2x-3=-9\end{align}\) - step4: Solve the equation: \(\begin{align}&x=6\\&x=-3\end{align}\) - step5: Rewrite: \(x_{1}=-3,x_{2}=6\) The real solutions of the equation \((2x-3)^2=81\) are \(x=-3\) and \(x=6\).