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

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


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

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

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

Multiply (8 + u) * (5 + u)
5u(8(5 + u) + u(5 + u)) = 0
5u((5 * 8 + u * 8) + u(5 + u)) = 0
5u((40 + 8u) + u(5 + u)) = 0
5u(40 + 8u + (5 * u + u * u)) = 0
5u(40 + 8u + (5u + u2)) = 0

Combine like terms: 8u + 5u = 13u
5u(40 + 13u + u2) = 0
(40 * 5u + 13u * 5u + u2 * 5u) = 0
(200u + 65u2 + 5u3) = 0

Solving
200u + 65u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(40 + 13u + u2) = 0

Factor a trinomial.
5u((8 + u)(5 + u)) = 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 '(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 '(5 + u)' equal to zero and attempt to solve:

Simplifying
5 + u = 0

Solving
5 + u = 0

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

Add '-5' to each side of the equation.
5 + -5 + u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + u = 0 + -5
u = 0 + -5

Combine like terms: 0 + -5 = -5
u = -5

Simplifying
u = -5
Solution
u = {0, -8, -5}

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