Solve for u u^2=18u

$u^{2} = 18 u$

Subtract $18 u$ from both sides of the equation.

$u^{2} - 18 u = 0$

Factor $u$ out of $u^{2} - 18 u$ .

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

$u \cdot u - 18 u = 0$

Factor $u$ out of $- 18 u$ .

$u \cdot u + u \cdot - 18 = 0$

Factor $u$ out of $u \cdot u + u \cdot - 18$ .

$u (u - 18) = 0$

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

$u = 0$

$u - 18 = 0$

Set $u$ equal to $0$ .

$u = 0$

Set $u - 18$ equal to $0$ and solve for $u$ .

Set $u - 18$ equal to $0$ .

$u - 18 = 0$

Add $18$ to both sides of the equation.

$u = 18$

The final solution is all the values that make $u (u - 18) = 0$ true.

$u = 0, 18$