Question

How do you solve for x in the equation 3(x squared-8x) = 0

Answer 1

$3(x^2-8x)=0\implies x^2-8x=\cfrac{0}{3}\implies x^2-8x=0 \\\\\\ \stackrel{\textit{common~factoring}}{x(x-8)=0} \implies \begin{cases} \boxed{x=0}\\[-0.5em] \hrulefill\\ x-8=0\\ \boxed{x=8} \end{cases}$