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Simplifying 4m2 = 12m + -5 Reorder the terms: 4m2 = -5 + 12m Solving 4m2 = -5 + 12m Solving for variable 'm'. Reorder the terms: 5 + -12m + 4m2 = -5 + 12m + 5 + -12m Reorder the terms: 5 + -12m + 4m2 = -5 + 5 + 12m + -12m Combine like terms: -5 + 5 = 0 5 + -12m + 4m2 = 0 + 12m + -12m 5 + -12m + 4m2 = 12m + -12m Combine like terms: 12m + -12m = 0 5 + -12m + 4m2 = 0 Factor a trinomial. (1 + -2m)(5 + -2m) = 0Subproblem 1
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Subproblem 2
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {0.5, 2.5}
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