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Simplifying 9m2 = 3m + 2 Reorder the terms: 9m2 = 2 + 3m Solving 9m2 = 2 + 3m Solving for variable 'm'. Reorder the terms: -2 + -3m + 9m2 = 2 + 3m + -2 + -3m Reorder the terms: -2 + -3m + 9m2 = 2 + -2 + 3m + -3m Combine like terms: 2 + -2 = 0 -2 + -3m + 9m2 = 0 + 3m + -3m -2 + -3m + 9m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -3m + 9m2 = 0 Factor a trinomial. (-1 + -3m)(2 + -3m) = 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 '(2 + -3m)' equal to zero and attempt to solve: Simplifying 2 + -3m = 0 Solving 2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3m = 0 + -2 -3m = 0 + -2 Combine like terms: 0 + -2 = -2 -3m = -2 Divide each side by '-3'. m = 0.6666666667 Simplifying m = 0.6666666667Solution
m = {-0.3333333333, 0.6666666667}
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