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Simplifying 2u(u + 9)(u + -5) = 0 Reorder the terms: 2u(9 + u)(u + -5) = 0 Reorder the terms: 2u(9 + u)(-5 + u) = 0 Multiply (9 + u) * (-5 + u) 2u(9(-5 + u) + u(-5 + u)) = 0 2u((-5 * 9 + u * 9) + u(-5 + u)) = 0 2u((-45 + 9u) + u(-5 + u)) = 0 2u(-45 + 9u + (-5 * u + u * u)) = 0 2u(-45 + 9u + (-5u + u2)) = 0 Combine like terms: 9u + -5u = 4u 2u(-45 + 4u + u2) = 0 (-45 * 2u + 4u * 2u + u2 * 2u) = 0 (-90u + 8u2 + 2u3) = 0 Solving -90u + 8u2 + 2u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u'. 2u(-45 + 4u + u2) = 0 Factor a trinomial. 2u((-9 + -1u)(5 + -1u)) = 0 Ignore the factor 2.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 '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {0, -9, 5}
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