Solve for u 6u^2-12u=0

$6 u^{2} - 12 u = 0$

Factor $6 u$ out of $6 u^{2} - 12 u$ .

Factor $6 u$ out of $6 u^{2}$ .

$6 u (u) - 12 u = 0$

Factor $6 u$ out of $- 12 u$ .

$6 u (u) + 6 u (- 2) = 0$

Factor $6 u$ out of $6 u (u) + 6 u (- 2)$ .

$6 u (u - 2) = 0$

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$u = 0$

$u - 2 = 0$

Set $u$ equal to $0$ .

$u = 0$

Set $u - 2$ equal to $0$ and solve for $u$ .

Set $u - 2$ equal to $0$ .

$u - 2 = 0$

Add $2$ to both sides of the equation.

$u = 2$

The final solution is all the values that make $6 u (u - 2) = 0$ true.

$u = 0, 2$