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Simplifying -4u(u + -2)(u + -9) = 0 Reorder the terms: -4u(-2 + u)(u + -9) = 0 Reorder the terms: -4u(-2 + u)(-9 + u) = 0 Multiply (-2 + u) * (-9 + u) -4u(-2(-9 + u) + u(-9 + u)) = 0 -4u((-9 * -2 + u * -2) + u(-9 + u)) = 0 -4u((18 + -2u) + u(-9 + u)) = 0 -4u(18 + -2u + (-9 * u + u * u)) = 0 -4u(18 + -2u + (-9u + u2)) = 0 Combine like terms: -2u + -9u = -11u -4u(18 + -11u + u2) = 0 (18 * -4u + -11u * -4u + u2 * -4u) = 0 (-72u + 44u2 + -4u3) = 0 Solving -72u + 44u2 + -4u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u'. 4u(-18 + 11u + -1u2) = 0 Factor a trinomial. 4u((-9 + u)(2 + -1u)) = 0 Ignore the factor 4.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 + 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 = 9Subproblem 3
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {0, 9, 2}
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