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Simplifying 3m2 = -13m + 16 Reorder the terms: 3m2 = 16 + -13m Solving 3m2 = 16 + -13m Solving for variable 'm'. Reorder the terms: -16 + 13m + 3m2 = 16 + -13m + -16 + 13m Reorder the terms: -16 + 13m + 3m2 = 16 + -16 + -13m + 13m Combine like terms: 16 + -16 = 0 -16 + 13m + 3m2 = 0 + -13m + 13m -16 + 13m + 3m2 = -13m + 13m Combine like terms: -13m + 13m = 0 -16 + 13m + 3m2 = 0 Factor a trinomial. (-16 + -3m)(1 + -1m) = 0Subproblem 1
Set the factor '(-16 + -3m)' equal to zero and attempt to solve: Simplifying -16 + -3m = 0 Solving -16 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3m = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3m = 0 + 16 -3m = 0 + 16 Combine like terms: 0 + 16 = 16 -3m = 16 Divide each side by '-3'. m = -5.333333333 Simplifying m = -5.333333333Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-5.333333333, 1}
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