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Simplifying (-4m + 5)(3m + -6) = 0 Reorder the terms: (5 + -4m)(3m + -6) = 0 Reorder the terms: (5 + -4m)(-6 + 3m) = 0 Multiply (5 + -4m) * (-6 + 3m) (5(-6 + 3m) + -4m * (-6 + 3m)) = 0 ((-6 * 5 + 3m * 5) + -4m * (-6 + 3m)) = 0 ((-30 + 15m) + -4m * (-6 + 3m)) = 0 (-30 + 15m + (-6 * -4m + 3m * -4m)) = 0 (-30 + 15m + (24m + -12m2)) = 0 Combine like terms: 15m + 24m = 39m (-30 + 39m + -12m2) = 0 Solving -30 + 39m + -12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 13m + -4m2) = 0 Factor a trinomial. 3((-2 + m)(5 + -4m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 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 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2Subproblem 2
Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 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 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25Solution
m = {2, 1.25}
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