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Simplifying 15m2 + -19m + 6 = 0 Reorder the terms: 6 + -19m + 15m2 = 0 Solving 6 + -19m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -5m)(2 + -3m) = 0Subproblem 1
Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6Subproblem 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 = {0.6, 0.6666666667}
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