-3u(u-8)(u-4)=0

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Solution for -3u(u-8)(u-4)=0 equation: 


Simplifying
-3u(u + -8)(u + -4) = 0

Reorder the terms:
-3u(-8 + u)(u + -4) = 0

Reorder the terms:
-3u(-8 + u)(-4 + u) = 0

Multiply (-8 + u) * (-4 + u)
-3u(-8(-4 + u) + u(-4 + u)) = 0
-3u((-4 * -8 + u * -8) + u(-4 + u)) = 0
-3u((32 + -8u) + u(-4 + u)) = 0
-3u(32 + -8u + (-4 * u + u * u)) = 0
-3u(32 + -8u + (-4u + u2)) = 0

Combine like terms: -8u + -4u = -12u
-3u(32 + -12u + u2) = 0
(32 * -3u + -12u * -3u + u2 * -3u) = 0
(-96u + 36u2 + -3u3) = 0

Solving
-96u + 36u2 + -3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(-32 + 12u + -1u2) = 0

Factor a trinomial.
3u((-8 + u)(4 + -1u)) = 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 '(4 + -1u)' equal to zero and attempt to solve:

Simplifying
4 + -1u = 0

Solving
4 + -1u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {0, 8, 4}

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