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Simplifying m2 = 8m + -12 Reorder the terms: m2 = -12 + 8m Solving m2 = -12 + 8m Solving for variable 'm'. Reorder the terms: 12 + -8m + m2 = -12 + 8m + 12 + -8m Reorder the terms: 12 + -8m + m2 = -12 + 12 + 8m + -8m Combine like terms: -12 + 12 = 0 12 + -8m + m2 = 0 + 8m + -8m 12 + -8m + m2 = 8m + -8m Combine like terms: 8m + -8m = 0 12 + -8m + 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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