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Simplifying 4m2 = 20m + 144 Reorder the terms: 4m2 = 144 + 20m Solving 4m2 = 144 + 20m Solving for variable 'm'. Reorder the terms: -144 + -20m + 4m2 = 144 + 20m + -144 + -20m Reorder the terms: -144 + -20m + 4m2 = 144 + -144 + 20m + -20m Combine like terms: 144 + -144 = 0 -144 + -20m + 4m2 = 0 + 20m + -20m -144 + -20m + 4m2 = 20m + -20m Combine like terms: 20m + -20m = 0 -144 + -20m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-36 + -5m + m2) = 0 Factor a trinomial. 4((-4 + -1m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-4, 9}
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