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Simplifying m2 + 4m = 96 Reorder the terms: 4m + m2 = 96 Solving 4m + m2 = 96 Solving for variable 'm'. Reorder the terms: -96 + 4m + m2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 4m + m2 = 0 Factor a trinomial. (-12 + -1m)(8 + -1m) = 0Subproblem 1
Set the factor '(-12 + -1m)' equal to zero and attempt to solve: Simplifying -12 + -1m = 0 Solving -12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = 0 + 12 -1m = 0 + 12 Combine like terms: 0 + 12 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 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 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-12, 8}
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