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Simplifying (2m + -3)(3m + -5) = 0 Reorder the terms: (-3 + 2m)(3m + -5) = 0 Reorder the terms: (-3 + 2m)(-5 + 3m) = 0 Multiply (-3 + 2m) * (-5 + 3m) (-3(-5 + 3m) + 2m * (-5 + 3m)) = 0 ((-5 * -3 + 3m * -3) + 2m * (-5 + 3m)) = 0 ((15 + -9m) + 2m * (-5 + 3m)) = 0 (15 + -9m + (-5 * 2m + 3m * 2m)) = 0 (15 + -9m + (-10m + 6m2)) = 0 Combine like terms: -9m + -10m = -19m (15 + -19m + 6m2) = 0 Solving 15 + -19m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -2m)(5 + -3m) = 0Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667Solution
m = {1.5, 1.666666667}
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