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Simplifying -5u(u + 8)(u + -6) = 0 Reorder the terms: -5u(8 + u)(u + -6) = 0 Reorder the terms: -5u(8 + u)(-6 + u) = 0 Multiply (8 + u) * (-6 + u) -5u(8(-6 + u) + u(-6 + u)) = 0 -5u((-6 * 8 + u * 8) + u(-6 + u)) = 0 -5u((-48 + 8u) + u(-6 + u)) = 0 -5u(-48 + 8u + (-6 * u + u * u)) = 0 -5u(-48 + 8u + (-6u + u2)) = 0 Combine like terms: 8u + -6u = 2u -5u(-48 + 2u + u2) = 0 (-48 * -5u + 2u * -5u + u2 * -5u) = 0 (240u + -10u2 + -5u3) = 0 Solving 240u + -10u2 + -5u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(48 + -2u + -1u2) = 0 Factor a trinomial. 5u((6 + -1u)(8 + 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 = 0Subproblem 2
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 3
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 = -8Solution
u = {0, 6, -8}
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