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Simplifying 5u(u + -1)(u + 9) = 0 Reorder the terms: 5u(-1 + u)(u + 9) = 0 Reorder the terms: 5u(-1 + u)(9 + u) = 0 Multiply (-1 + u) * (9 + u) 5u(-1(9 + u) + u(9 + u)) = 0 5u((9 * -1 + u * -1) + u(9 + u)) = 0 5u((-9 + -1u) + u(9 + u)) = 0 5u(-9 + -1u + (9 * u + u * u)) = 0 5u(-9 + -1u + (9u + u2)) = 0 Combine like terms: -1u + 9u = 8u 5u(-9 + 8u + u2) = 0 (-9 * 5u + 8u * 5u + u2 * 5u) = 0 (-45u + 40u2 + 5u3) = 0 Solving -45u + 40u2 + 5u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(-9 + 8u + u2) = 0 Factor a trinomial. 5u((-9 + -1u)(1 + -1u)) = 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 '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {0, -9, 1}
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