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