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Simplifying 4m2 = 24m + -36 Reorder the terms: 4m2 = -36 + 24m Solving 4m2 = -36 + 24m Solving for variable 'm'. Reorder the terms: 36 + -24m + 4m2 = -36 + 24m + 36 + -24m Reorder the terms: 36 + -24m + 4m2 = -36 + 36 + 24m + -24m Combine like terms: -36 + 36 = 0 36 + -24m + 4m2 = 0 + 24m + -24m 36 + -24m + 4m2 = 24m + -24m Combine like terms: 24m + -24m = 0 36 + -24m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -6m + m2) = 0 Factor a trinomial. 4((3 + -1m)(3 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Solution
m = {3, 3}
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