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Simplifying -2(u + -3)(u + 9) = 0 Reorder the terms: -2(-3 + u)(u + 9) = 0 Reorder the terms: -2(-3 + u)(9 + u) = 0 Multiply (-3 + u) * (9 + u) -2(-3(9 + u) + u(9 + u)) = 0 -2((9 * -3 + u * -3) + u(9 + u)) = 0 -2((-27 + -3u) + u(9 + u)) = 0 -2(-27 + -3u + (9 * u + u * u)) = 0 -2(-27 + -3u + (9u + u2)) = 0 Combine like terms: -3u + 9u = 6u -2(-27 + 6u + u2) = 0 (-27 * -2 + 6u * -2 + u2 * -2) = 0 (54 + -12u + -2u2) = 0 Solving 54 + -12u + -2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2'. 2(27 + -6u + -1u2) = 0 Factor a trinomial. 2((3 + -1u)(9 + u)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Subproblem 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 = -9Solution
u = {3, -9}
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