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Simplifying -32 = 7m2 + 36m Reorder the terms: -32 = 36m + 7m2 Solving -32 = 36m + 7m2 Solving for variable 'm'. Reorder the terms: -32 + -36m + -7m2 = 36m + -36m + 7m2 + -7m2 Combine like terms: 36m + -36m = 0 -32 + -36m + -7m2 = 0 + 7m2 + -7m2 -32 + -36m + -7m2 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 -32 + -36m + -7m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(32 + 36m + 7m2) = 0 Factor a trinomial. -1((4 + m)(8 + 7m)) = 0 Ignore the factor -1.Subproblem 1
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 = -4Subproblem 2
Set the factor '(8 + 7m)' equal to zero and attempt to solve: Simplifying 8 + 7m = 0 Solving 8 + 7m = 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 + 7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 0 + -8 7m = 0 + -8 Combine like terms: 0 + -8 = -8 7m = -8 Divide each side by '7'. m = -1.142857143 Simplifying m = -1.142857143Solution
m = {-4, -1.142857143}
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