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Simplifying -5u(u + 4)(u + -9) = 0 Reorder the terms: -5u(4 + u)(u + -9) = 0 Reorder the terms: -5u(4 + u)(-9 + u) = 0 Multiply (4 + u) * (-9 + u) -5u(4(-9 + u) + u(-9 + u)) = 0 -5u((-9 * 4 + u * 4) + u(-9 + u)) = 0 -5u((-36 + 4u) + u(-9 + u)) = 0 -5u(-36 + 4u + (-9 * u + u * u)) = 0 -5u(-36 + 4u + (-9u + u2)) = 0 Combine like terms: 4u + -9u = -5u -5u(-36 + -5u + u2) = 0 (-36 * -5u + -5u * -5u + u2 * -5u) = 0 (180u + 25u2 + -5u3) = 0 Solving 180u + 25u2 + -5u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(36 + 5u + -1u2) = 0 Factor a trinomial. 5u((9 + -1u)(4 + 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 '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 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 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 3
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Solution
u = {0, 9, -4}
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