-3u(u+2)(u+8)=0

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Solution for -3u(u+2)(u+8)=0 equation: 


Simplifying
-3u(u + 2)(u + 8) = 0

Reorder the terms:
-3u(2 + u)(u + 8) = 0

Reorder the terms:
-3u(2 + u)(8 + u) = 0

Multiply (2 + u) * (8 + u)
-3u(2(8 + u) + u(8 + u)) = 0
-3u((8 * 2 + u * 2) + u(8 + u)) = 0
-3u((16 + 2u) + u(8 + u)) = 0
-3u(16 + 2u + (8 * u + u * u)) = 0
-3u(16 + 2u + (8u + u2)) = 0

Combine like terms: 2u + 8u = 10u
-3u(16 + 10u + u2) = 0
(16 * -3u + 10u * -3u + u2 * -3u) = 0
(-48u + -30u2 + -3u3) = 0

Solving
-48u + -30u2 + -3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-3u'.
-3u(16 + 10u + u2) = 0

Factor a trinomial.
-3u((8 + u)(2 + u)) = 0

Ignore the factor -3.

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
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 3
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 = {0, -8, -2}

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