-3u(u+2)(u-8)=0

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Solution for -3u(u+2)(u-8)=0 equation:


Simplifying
-3u(u + 2)(u + -8) = 0

Reorder the terms:
-3u(2 + u)(u + -8) = 0

Reorder the terms:
-3u(2 + u)(-8 + u) = 0

Multiply (2 + u) * (-8 + u)
-3u(2(-8 + u) + u(-8 + u)) = 0
-3u((-8 * 2 + u * 2) + u(-8 + u)) = 0
-3u((-16 + 2u) + u(-8 + u)) = 0
-3u(-16 + 2u + (-8 * u + u * u)) = 0
-3u(-16 + 2u + (-8u + u2)) = 0

Combine like terms: 2u + -8u = -6u
-3u(-16 + -6u + u2) = 0
(-16 * -3u + -6u * -3u + u2 * -3u) = 0
(48u + 18u2 + -3u3) = 0

Solving
48u + 18u2 + -3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3u'.
3u(16 + 6u + -1u2) = 0

Factor a trinomial.
3u((8 + -1u)(2 + u)) = 0

Ignore the factor 3.

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 '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2

Solution

u = {0, 8, -2}

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