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Simplifying 3u2 + -39u + -90 = 0 Reorder the terms: -90 + -39u + 3u2 = 0 Solving -90 + -39u + 3u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + -13u + u2) = 0 Factor a trinomial. 3((-2 + -1u)(15 + -1u)) = 0 Ignore the factor 3.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 '(15 + -1u)' equal to zero and attempt to solve: Simplifying 15 + -1u = 0 Solving 15 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1u = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1u = 0 + -15 -1u = 0 + -15 Combine like terms: 0 + -15 = -15 -1u = -15 Divide each side by '-1'. u = 15 Simplifying u = 15Solution
u = {-2, 15}
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