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Simplifying -2u2 + -22u + -36 = 0 Reorder the terms: -36 + -22u + -2u2 = 0 Solving -36 + -22u + -2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '-2'. -2(18 + 11u + u2) = 0 Factor a trinomial. -2((9 + u)(2 + u)) = 0 Ignore the factor -2.Subproblem 1
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 = -9Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Solution
u = {-9, -2}
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