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Simplifying 3m2 = 4m + -1 Reorder the terms: 3m2 = -1 + 4m Solving 3m2 = -1 + 4m Solving for variable 'm'. Reorder the terms: 1 + -4m + 3m2 = -1 + 4m + 1 + -4m Reorder the terms: 1 + -4m + 3m2 = -1 + 1 + 4m + -4m Combine like terms: -1 + 1 = 0 1 + -4m + 3m2 = 0 + 4m + -4m 1 + -4m + 3m2 = 4m + -4m Combine like terms: 4m + -4m = 0 1 + -4m + 3m2 = 0 Factor a trinomial. (1 + -3m)(1 + -1m) = 0Subproblem 1
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 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 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Subproblem 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 = {0.3333333333, 1}
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