4u(u-6)(u+8)=0

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Solution for 4u(u-6)(u+8)=0 equation: 


Simplifying
4u(u + -6)(u + 8) = 0

Reorder the terms:
4u(-6 + u)(u + 8) = 0

Reorder the terms:
4u(-6 + u)(8 + u) = 0

Multiply (-6 + u) * (8 + u)
4u(-6(8 + u) + u(8 + u)) = 0
4u((8 * -6 + u * -6) + u(8 + u)) = 0
4u((-48 + -6u) + u(8 + u)) = 0
4u(-48 + -6u + (8 * u + u * u)) = 0
4u(-48 + -6u + (8u + u2)) = 0

Combine like terms: -6u + 8u = 2u
4u(-48 + 2u + u2) = 0
(-48 * 4u + 2u * 4u + u2 * 4u) = 0
(-192u + 8u2 + 4u3) = 0

Solving
-192u + 8u2 + 4u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-48 + 2u + u2) = 0

Factor a trinomial.
4u((-8 + -1u)(6 + -1u)) = 0

Ignore the factor 4.

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 + -1u)' equal to zero and attempt to solve:

Simplifying
-8 + -1u = 0

Solving
-8 + -1u = 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 + -1u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = 0 + 8
-1u = 0 + 8

Combine like terms: 0 + 8 = 8
-1u = 8

Divide each side by '-1'.
u = -8

Simplifying
u = -8

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

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