ANSWER
[tex]\begin{equation*} w=0,\text{ }w=6 \end{equation*}[/tex]
EXPLANATION
We want to solve the given equation for w:
[tex]4w^2-24w=0[/tex]
To do this, we have to factorize the equation and simplify it.
Let us do that now:
[tex]\begin{gathered} (4w*w)-(4w*6)=0 \\ \\ 4w(w-6)=0 \\ \\ \Rightarrow4w=0\text{ and }w-6=0 \\ \\ \Rightarrow w=0,\text{ }w=6 \end{gathered}[/tex]
That is the answer.
