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Simplifying 12m2 = 10 + -7m Solving 12m2 = 10 + -7m Solving for variable 'm'. Reorder the terms: -10 + 7m + 12m2 = 10 + -7m + -10 + 7m Reorder the terms: -10 + 7m + 12m2 = 10 + -10 + -7m + 7m Combine like terms: 10 + -10 = 0 -10 + 7m + 12m2 = 0 + -7m + 7m -10 + 7m + 12m2 = -7m + 7m Combine like terms: -7m + 7m = 0 -10 + 7m + 12m2 = 0 Factor a trinomial. (-5 + -4m)(2 + -3m) = 0Subproblem 1
Set the factor '(-5 + -4m)' equal to zero and attempt to solve: Simplifying -5 + -4m = 0 Solving -5 + -4m = 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 + -4m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = 0 + 5 -4m = 0 + 5 Combine like terms: 0 + 5 = 5 -4m = 5 Divide each side by '-4'. m = -1.25 Simplifying m = -1.25Subproblem 2
Set the factor '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 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 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-1.25, 0.6666666667}
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