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Simplifying 12m2 = 10 + -37m Solving 12m2 = 10 + -37m Solving for variable 'm'. Reorder the terms: -10 + 37m + 12m2 = 10 + -37m + -10 + 37m Reorder the terms: -10 + 37m + 12m2 = 10 + -10 + -37m + 37m Combine like terms: 10 + -10 = 0 -10 + 37m + 12m2 = 0 + -37m + 37m -10 + 37m + 12m2 = -37m + 37m Combine like terms: -37m + 37m = 0 -10 + 37m + 12m2 = 0 Factor a trinomial. (-10 + -3m)(1 + -4m) = 0Subproblem 1
Set the factor '(-10 + -3m)' equal to zero and attempt to solve: Simplifying -10 + -3m = 0 Solving -10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3m = 0 + 10 -3m = 0 + 10 Combine like terms: 0 + 10 = 10 -3m = 10 Divide each side by '-3'. m = -3.333333333 Simplifying m = -3.333333333Subproblem 2
Set the factor '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 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 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25Solution
m = {-3.333333333, 0.25}
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