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Simplifying (3m + 4)(5m + -3) = 0 Reorder the terms: (4 + 3m)(5m + -3) = 0 Reorder the terms: (4 + 3m)(-3 + 5m) = 0 Multiply (4 + 3m) * (-3 + 5m) (4(-3 + 5m) + 3m * (-3 + 5m)) = 0 ((-3 * 4 + 5m * 4) + 3m * (-3 + 5m)) = 0 ((-12 + 20m) + 3m * (-3 + 5m)) = 0 (-12 + 20m + (-3 * 3m + 5m * 3m)) = 0 (-12 + 20m + (-9m + 15m2)) = 0 Combine like terms: 20m + -9m = 11m (-12 + 11m + 15m2) = 0 Solving -12 + 11m + 15m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(3 + -5m) = 0Subproblem 1
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 = -1.333333333Subproblem 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 = {-1.333333333, 0.6}
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