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Simplifying (3m + 3)(5m + -3) = 0 Reorder the terms: (3 + 3m)(5m + -3) = 0 Reorder the terms: (3 + 3m)(-3 + 5m) = 0 Multiply (3 + 3m) * (-3 + 5m) (3(-3 + 5m) + 3m * (-3 + 5m)) = 0 ((-3 * 3 + 5m * 3) + 3m * (-3 + 5m)) = 0 ((-9 + 15m) + 3m * (-3 + 5m)) = 0 (-9 + 15m + (-3 * 3m + 5m * 3m)) = 0 (-9 + 15m + (-9m + 15m2)) = 0 Combine like terms: 15m + -9m = 6m (-9 + 6m + 15m2) = 0 Solving -9 + 6m + 15m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 2m + 5m2) = 0 Factor a trinomial. 3((-1 + -1m)(3 + -5m)) = 0 Ignore the factor 3.Subproblem 1
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 = -1Subproblem 2
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 = 0.6Solution
m = {-1, 0.6}
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