5u(u-8)(u-3)=0

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Solution for 5u(u-8)(u-3)=0 equation: 


Simplifying
5u(u + -8)(u + -3) = 0

Reorder the terms:
5u(-8 + u)(u + -3) = 0

Reorder the terms:
5u(-8 + u)(-3 + u) = 0

Multiply (-8 + u) * (-3 + u)
5u(-8(-3 + u) + u(-3 + u)) = 0
5u((-3 * -8 + u * -8) + u(-3 + u)) = 0
5u((24 + -8u) + u(-3 + u)) = 0
5u(24 + -8u + (-3 * u + u * u)) = 0
5u(24 + -8u + (-3u + u2)) = 0

Combine like terms: -8u + -3u = -11u
5u(24 + -11u + u2) = 0
(24 * 5u + -11u * 5u + u2 * 5u) = 0
(120u + -55u2 + 5u3) = 0

Solving
120u + -55u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(24 + -11u + u2) = 0

Factor a trinomial.
5u((3 + -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 '(3 + -1u)' equal to zero and attempt to solve:

Simplifying
3 + -1u = 0

Solving
3 + -1u = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1u = 0 + -3
-1u = 0 + -3

Combine like terms: 0 + -3 = -3
-1u = -3

Divide each side by '-1'.
u = 3

Simplifying
u = 3

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, 3, 8}

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