Solve for u 5u^2-15u=0

$5 u^{2} - 15 u = 0$

Factor $5 u$ out of $5 u^{2} - 15 u$ .

Factor $5 u$ out of $5 u^{2}$ .

$5 u (u) - 15 u = 0$

Factor $5 u$ out of $- 15 u$ .

$5 u (u) + 5 u (- 3) = 0$

Factor $5 u$ out of $5 u (u) + 5 u (- 3)$ .

$5 u (u - 3) = 0$

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

$u = 0$

$u - 3 = 0$

Set $u$ equal to $0$ .

$u = 0$

Set $u - 3$ equal to $0$ and solve for $u$ .

Set $u - 3$ equal to $0$ .

$u - 3 = 0$

Add $3$ to both sides of the equation.

$u = 3$

The final solution is all the values that make $5 u (u - 3) = 0$ true.

$u = 0, 3$