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Simplifying (5m + 2)(3m + -4) = 0 Reorder the terms: (2 + 5m)(3m + -4) = 0 Reorder the terms: (2 + 5m)(-4 + 3m) = 0 Multiply (2 + 5m) * (-4 + 3m) (2(-4 + 3m) + 5m * (-4 + 3m)) = 0 ((-4 * 2 + 3m * 2) + 5m * (-4 + 3m)) = 0 ((-8 + 6m) + 5m * (-4 + 3m)) = 0 (-8 + 6m + (-4 * 5m + 3m * 5m)) = 0 (-8 + 6m + (-20m + 15m2)) = 0 Combine like terms: 6m + -20m = -14m (-8 + -14m + 15m2) = 0 Solving -8 + -14m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -5m)(4 + -3m) = 0Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve: Simplifying -2 + -5m = 0 Solving -2 + -5m = 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 + -5m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5m = 0 + 2 -5m = 0 + 2 Combine like terms: 0 + 2 = 2 -5m = 2 Divide each side by '-5'. m = -0.4 Simplifying m = -0.4Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {-0.4, 1.333333333}
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