3(u+8)(-u-1)=0

Solution for 3(u+8)(-u-1)=0 equation:

Simplifying
3(u + 8)(-1u + -1) = 0

Reorder the terms:
3(8 + u)(-1u + -1) = 0

Reorder the terms:
3(8 + u)(-1 + -1u) = 0

Multiply (8 + u) * (-1 + -1u)
3(8(-1 + -1u) + u(-1 + -1u)) = 0
3((-1 * 8 + -1u * 8) + u(-1 + -1u)) = 0
3((-8 + -8u) + u(-1 + -1u)) = 0
3(-8 + -8u + (-1 * u + -1u * u)) = 0
3(-8 + -8u + (-1u + -1u2)) = 0

Combine like terms: -8u + -1u = -9u
3(-8 + -9u + -1u2) = 0
(-8 * 3 + -9u * 3 + -1u2 * 3) = 0
(-24 + -27u + -3u2) = 0

Solving
-24 + -27u + -3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(8 + 9u + u2) = 0

Factor a trinomial.
-3((8 + u)(1 + u)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

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

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8
Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

Add '-1' to each side of the equation.
1 + -1 + u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + u = 0 + -1
u = 0 + -1

Combine like terms: 0 + -1 = -1
u = -1

Simplifying
u = -1
Solution
u = {-8, -1}