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Simplifying -12m2 + -37m + 10 = 0 Reorder the terms: 10 + -37m + -12m2 = 0 Solving 10 + -37m + -12m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -4m)(10 + 3m) = 0Subproblem 1
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 = 0.25Subproblem 2
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 = -3.333333333Solution
m = {0.25, -3.333333333}
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