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Simplifying 3m2 = 15 + -4m Solving 3m2 = 15 + -4m Solving for variable 'm'. Reorder the terms: -15 + 4m + 3m2 = 15 + -4m + -15 + 4m Reorder the terms: -15 + 4m + 3m2 = 15 + -15 + -4m + 4m Combine like terms: 15 + -15 = 0 -15 + 4m + 3m2 = 0 + -4m + 4m -15 + 4m + 3m2 = -4m + 4m Combine like terms: -4m + 4m = 0 -15 + 4m + 3m2 = 0 Factor a trinomial. (-3 + -1m)(5 + -3m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {-3, 1.666666667}
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