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