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Simplifying (6m + -4)(5m + 3) = 0 Reorder the terms: (-4 + 6m)(5m + 3) = 0 Reorder the terms: (-4 + 6m)(3 + 5m) = 0 Multiply (-4 + 6m) * (3 + 5m) (-4(3 + 5m) + 6m * (3 + 5m)) = 0 ((3 * -4 + 5m * -4) + 6m * (3 + 5m)) = 0 ((-12 + -20m) + 6m * (3 + 5m)) = 0 (-12 + -20m + (3 * 6m + 5m * 6m)) = 0 (-12 + -20m + (18m + 30m2)) = 0 Combine like terms: -20m + 18m = -2m (-12 + -2m + 30m2) = 0 Solving -12 + -2m + 30m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -1m + 15m2) = 0 Factor a trinomial. 2((-3 + -5m)(2 + -3m)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.6Subproblem 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 = {-0.6, 0.6666666667}
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