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Simplifying 7m2 = 12 + -8m Solving 7m2 = 12 + -8m Solving for variable 'm'. Reorder the terms: -12 + 8m + 7m2 = 12 + -8m + -12 + 8m Reorder the terms: -12 + 8m + 7m2 = 12 + -12 + -8m + 8m Combine like terms: 12 + -12 = 0 -12 + 8m + 7m2 = 0 + -8m + 8m -12 + 8m + 7m2 = -8m + 8m Combine like terms: -8m + 8m = 0 -12 + 8m + 7m2 = 0 Factor a trinomial. (-2 + -1m)(6 + -7m) = 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 + -7m)' equal to zero and attempt to solve: Simplifying 6 + -7m = 0 Solving 6 + -7m = 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 + -7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = 0 + -6 -7m = 0 + -6 Combine like terms: 0 + -6 = -6 -7m = -6 Divide each side by '-7'. m = 0.8571428571 Simplifying m = 0.8571428571Solution
m = {-2, 0.8571428571}
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