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Simplifying -3u(u + -4)(u + 9) = 0 Reorder the terms: -3u(-4 + u)(u + 9) = 0 Reorder the terms: -3u(-4 + u)(9 + u) = 0 Multiply (-4 + u) * (9 + u) -3u(-4(9 + u) + u(9 + u)) = 0 -3u((9 * -4 + u * -4) + u(9 + u)) = 0 -3u((-36 + -4u) + u(9 + u)) = 0 -3u(-36 + -4u + (9 * u + u * u)) = 0 -3u(-36 + -4u + (9u + u2)) = 0 Combine like terms: -4u + 9u = 5u -3u(-36 + 5u + u2) = 0 (-36 * -3u + 5u * -3u + u2 * -3u) = 0 (108u + -15u2 + -3u3) = 0 Solving 108u + -15u2 + -3u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(36 + -5u + -1u2) = 0 Factor a trinomial. 3u((4 + -1u)(9 + 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 = 0Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Subproblem 3
Set the factor '(9 + u)' equal to zero and attempt to solve: Simplifying 9 + u = 0 Solving 9 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + u = 0 + -9 u = 0 + -9 Combine like terms: 0 + -9 = -9 u = -9 Simplifying u = -9Solution
u = {0, 4, -9}
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