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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 = -1m (-15 + -1m + 6m2) = 0 Solving -15 + -1m + 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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