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Simplifying m2 = 4m + 12 Reorder the terms: m2 = 12 + 4m Solving m2 = 12 + 4m Solving for variable 'm'. Reorder the terms: -12 + -4m + m2 = 12 + 4m + -12 + -4m Reorder the terms: -12 + -4m + m2 = 12 + -12 + 4m + -4m Combine like terms: 12 + -12 = 0 -12 + -4m + m2 = 0 + 4m + -4m -12 + -4m + m2 = 4m + -4m Combine like terms: 4m + -4m = 0 -12 + -4m + m2 = 0 Factor a trinomial. (-2 + -1m)(6 + -1m) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, 6}
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