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

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


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

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

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

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

Combine like terms: -8u + -6u = -14u
5u(48 + -14u + u2) = 0
(48 * 5u + -14u * 5u + u2 * 5u) = 0
(240u + -70u2 + 5u3) = 0

Solving
240u + -70u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(48 + -14u + 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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