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

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


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

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

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

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

Combine like terms: -8u + 1u = -7u
-5u(-8 + -7u + u2) = 0
(-8 * -5u + -7u * -5u + u2 * -5u) = 0
(40u + 35u2 + -5u3) = 0

Solving
40u + 35u2 + -5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(8 + 7u + -1u2) = 0

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

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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