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Simplifying (3m + -3)(2m + 5) = 0 Reorder the terms: (-3 + 3m)(2m + 5) = 0 Reorder the terms: (-3 + 3m)(5 + 2m) = 0 Multiply (-3 + 3m) * (5 + 2m) (-3(5 + 2m) + 3m * (5 + 2m)) = 0 ((5 * -3 + 2m * -3) + 3m * (5 + 2m)) = 0 ((-15 + -6m) + 3m * (5 + 2m)) = 0 (-15 + -6m + (5 * 3m + 2m * 3m)) = 0 (-15 + -6m + (15m + 6m2)) = 0 Combine like terms: -6m + 15m = 9m (-15 + 9m + 6m2) = 0 Solving -15 + 9m + 6m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 3m + 2m2) = 0 Factor a trinomial. 3((-5 + -2m)(1 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve: Simplifying -5 + -2m = 0 Solving -5 + -2m = 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 + -2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2m = 0 + 5 -2m = 0 + 5 Combine like terms: 0 + 5 = 5 -2m = 5 Divide each side by '-2'. m = -2.5 Simplifying m = -2.5Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-2.5, 1}
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