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Simplifying -56 = -15m + m2 Solving -56 = -15m + m2 Solving for variable 'm'. Reorder the terms: -56 + 15m + -1m2 = -15m + 15m + m2 + -1m2 Combine like terms: -15m + 15m = 0 -56 + 15m + -1m2 = 0 + m2 + -1m2 -56 + 15m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -56 + 15m + -1m2 = 0 Factor a trinomial. (-8 + m)(7 + -1m) = 0Subproblem 1
Set the factor '(-8 + m)' equal to zero and attempt to solve: Simplifying -8 + m = 0 Solving -8 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + m = 0 + 8 m = 0 + 8 Combine like terms: 0 + 8 = 8 m = 8 Simplifying m = 8Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {8, 7}
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