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Simplifying (6 + -5m)(2 + 3m) = 0 Multiply (6 + -5m) * (2 + 3m) (6(2 + 3m) + -5m * (2 + 3m)) = 0 ((2 * 6 + 3m * 6) + -5m * (2 + 3m)) = 0 ((12 + 18m) + -5m * (2 + 3m)) = 0 (12 + 18m + (2 * -5m + 3m * -5m)) = 0 (12 + 18m + (-10m + -15m2)) = 0 Combine like terms: 18m + -10m = 8m (12 + 8m + -15m2) = 0 Solving 12 + 8m + -15m2 = 0 Solving for variable 'm'. Factor a trinomial. (6 + -5m)(2 + 3m) = 0Subproblem 1
Set the factor '(6 + -5m)' equal to zero and attempt to solve: Simplifying 6 + -5m = 0 Solving 6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5m = 0 + -6 -5m = 0 + -6 Combine like terms: 0 + -6 = -6 -5m = -6 Divide each side by '-5'. m = 1.2 Simplifying m = 1.2Subproblem 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 = {1.2, -0.6666666667}
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