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Simplifying m2 = -15m + -44 Reorder the terms: m2 = -44 + -15m Solving m2 = -44 + -15m Solving for variable 'm'. Reorder the terms: 44 + 15m + m2 = -44 + -15m + 44 + 15m Reorder the terms: 44 + 15m + m2 = -44 + 44 + -15m + 15m Combine like terms: -44 + 44 = 0 44 + 15m + m2 = 0 + -15m + 15m 44 + 15m + m2 = -15m + 15m Combine like terms: -15m + 15m = 0 44 + 15m + m2 = 0 Factor a trinomial. (11 + m)(4 + m) = 0Subproblem 1
Set the factor '(11 + m)' equal to zero and attempt to solve: Simplifying 11 + m = 0 Solving 11 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + m = 0 + -11 m = 0 + -11 Combine like terms: 0 + -11 = -11 m = -11 Simplifying m = -11Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {-11, -4}
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