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Simplifying 2m2 + -4m = 48 Reorder the terms: -4m + 2m2 = 48 Solving -4m + 2m2 = 48 Solving for variable 'm'. Reorder the terms: -48 + -4m + 2m2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -4m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -2m + m2) = 0 Factor a trinomial. 2((-4 + -1m)(6 + -1m)) = 0 Ignore the factor 2.Subproblem 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 '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Solution
m = {-4, 6}
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