-3(u+2)(-u-3)=0

Solution for -3(u+2)(-u-3)=0 equation:

Simplifying
-3(u + 2)(-1u + -3) = 0

Reorder the terms:
-3(2 + u)(-1u + -3) = 0

Reorder the terms:
-3(2 + u)(-3 + -1u) = 0

Multiply (2 + u) * (-3 + -1u)
-3(2(-3 + -1u) + u(-3 + -1u)) = 0
-3((-3 * 2 + -1u * 2) + u(-3 + -1u)) = 0
-3((-6 + -2u) + u(-3 + -1u)) = 0
-3(-6 + -2u + (-3 * u + -1u * u)) = 0
-3(-6 + -2u + (-3u + -1u2)) = 0

Combine like terms: -2u + -3u = -5u
-3(-6 + -5u + -1u2) = 0
(-6 * -3 + -5u * -3 + -1u2 * -3) = 0
(18 + 15u + 3u2) = 0

Solving
18 + 15u + 3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 5u + u2) = 0

Factor a trinomial.
3((3 + u)(2 + u)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + u)' equal to zero and attempt to solve:

Simplifying
3 + u = 0

Solving
3 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

Simplifying
u = -3
Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve:

Simplifying
2 + u = 0

Solving
2 + u = 0

Move all terms containing u to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + u = 0 + -2
u = 0 + -2

Combine like terms: 0 + -2 = -2
u = -2

Simplifying
u = -2
Solution
u = {-3, -2}