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Simplifying 4m2 + 12m + 8 = 48 Reorder the terms: 8 + 12m + 4m2 = 48 Solving 8 + 12m + 4m2 = 48 Solving for variable 'm'. Reorder the terms: 8 + -48 + 12m + 4m2 = 48 + -48 Combine like terms: 8 + -48 = -40 -40 + 12m + 4m2 = 48 + -48 Combine like terms: 48 + -48 = 0 -40 + 12m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 3m + m2) = 0 Factor a trinomial. 4((-5 + -1m)(2 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
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 = 2Solution
m = {-5, 2}
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