-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 = -3u
-5u(-40 + -3u + u2) = 0
(-40 * -5u + -3u * -5u + u2 * -5u) = 0
(200u + 15u2 + -5u3) = 0

Solving
200u + 15u2 + -5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5u'.
5u(40 + 3u + -1u2) = 0

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