Question

solve.
2(u - 3)(-u + 6) = 0
(if there is more than one solution, separate them with commas.)
u =

Explanation:

Step1: Apply Zero Product Property

Set each factor equal to 0:
$2=0$, $u-3=0$, $-u+6=0$

Step2: Evaluate non-viable factor

$2=0$ is false, so discard this.

Step3: Solve first valid equation

Solve $u-3=0$:
$u=3$

Step4: Solve second valid equation

Solve $-u+6=0$:
$-u=-6 \implies u=6$

Answer:

$u=3, 6$