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Simplifying 4m2 + 8m + 4 = 36 Reorder the terms: 4 + 8m + 4m2 = 36 Solving 4 + 8m + 4m2 = 36 Solving for variable 'm'. Reorder the terms: 4 + -36 + 8m + 4m2 = 36 + -36 Combine like terms: 4 + -36 = -32 -32 + 8m + 4m2 = 36 + -36 Combine like terms: 36 + -36 = 0 -32 + 8m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + 2m + m2) = 0 Factor a trinomial. 4((-4 + -1m)(2 + -1m)) = 0 Ignore the factor 4.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 '(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 = {-4, 2}
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