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Simplifying 0 = -2u2 + 2u + 12 Reorder the terms: 0 = 12 + 2u + -2u2 Solving 0 = 12 + 2u + -2u2 Solving for variable 'u'. Combine like terms: 0 + -12 = -12 -12 + -2u + 2u2 = 12 + 2u + -2u2 + -12 + -2u + 2u2 Reorder the terms: -12 + -2u + 2u2 = 12 + -12 + 2u + -2u + -2u2 + 2u2 Combine like terms: 12 + -12 = 0 -12 + -2u + 2u2 = 0 + 2u + -2u + -2u2 + 2u2 -12 + -2u + 2u2 = 2u + -2u + -2u2 + 2u2 Combine like terms: 2u + -2u = 0 -12 + -2u + 2u2 = 0 + -2u2 + 2u2 -12 + -2u + 2u2 = -2u2 + 2u2 Combine like terms: -2u2 + 2u2 = 0 -12 + -2u + 2u2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -1u + u2) = 0 Factor a trinomial. 2((-2 + -1u)(3 + -1u)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
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 = 3Solution
u = {-2, 3}
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