5u(u+1)(u+8)=0

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Solution for 5u(u+1)(u+8)=0 equation: 


Simplifying
5u(u + 1)(u + 8) = 0

Reorder the terms:
5u(1 + u)(u + 8) = 0

Reorder the terms:
5u(1 + u)(8 + u) = 0

Multiply (1 + u) * (8 + u)
5u(1(8 + u) + u(8 + u)) = 0
5u((8 * 1 + u * 1) + u(8 + u)) = 0
5u((8 + 1u) + u(8 + u)) = 0
5u(8 + 1u + (8 * u + u * u)) = 0
5u(8 + 1u + (8u + u2)) = 0

Combine like terms: 1u + 8u = 9u
5u(8 + 9u + u2) = 0
(8 * 5u + 9u * 5u + u2 * 5u) = 0
(40u + 45u2 + 5u3) = 0

Solving
40u + 45u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(8 + 9u + u2) = 0

Factor a trinomial.
5u((8 + u)(1 + 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 '(1 + u)' equal to zero and attempt to solve:

Simplifying
1 + u = 0

Solving
1 + u = 0

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

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

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

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

Simplifying
u = -1
Solution
u = {0, -8, -1}

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