-3u(u+8)(u-6)=0

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Solution for -3u(u+8)(u-6)=0 equation: 


Simplifying
-3u(u + 8)(u + -6) = 0

Reorder the terms:
-3u(8 + u)(u + -6) = 0

Reorder the terms:
-3u(8 + u)(-6 + u) = 0

Multiply (8 + u) * (-6 + u)
-3u(8(-6 + u) + u(-6 + u)) = 0
-3u((-6 * 8 + u * 8) + u(-6 + u)) = 0
-3u((-48 + 8u) + u(-6 + u)) = 0
-3u(-48 + 8u + (-6 * u + u * u)) = 0
-3u(-48 + 8u + (-6u + u2)) = 0

Combine like terms: 8u + -6u = 2u
-3u(-48 + 2u + u2) = 0
(-48 * -3u + 2u * -3u + u2 * -3u) = 0
(144u + -6u2 + -3u3) = 0

Solving
144u + -6u2 + -3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(48 + -2u + -1u2) = 0

Factor a trinomial.
3u((6 + -1u)(8 + 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 '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6

Subproblem 3
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
Solution
u = {0, 6, -8}

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