5u(u+6)(u-8)=0

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Solution for 5u(u+6)(u-8)=0 equation: 


Simplifying
5u(u + 6)(u + -8) = 0

Reorder the terms:
5u(6 + u)(u + -8) = 0

Reorder the terms:
5u(6 + u)(-8 + u) = 0

Multiply (6 + u) * (-8 + u)
5u(6(-8 + u) + u(-8 + u)) = 0
5u((-8 * 6 + u * 6) + u(-8 + u)) = 0
5u((-48 + 6u) + u(-8 + u)) = 0
5u(-48 + 6u + (-8 * u + u * u)) = 0
5u(-48 + 6u + (-8u + u2)) = 0

Combine like terms: 6u + -8u = -2u
5u(-48 + -2u + u2) = 0
(-48 * 5u + -2u * 5u + u2 * 5u) = 0
(-240u + -10u2 + 5u3) = 0

Solving
-240u + -10u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(-48 + -2u + u2) = 0

Factor a trinomial.
5u((-6 + -1u)(8 + -1u)) = 0

Ignore the factor 5.

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 + -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
Solution
u = {0, -6, 8}

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