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Simplifying (2m + 3)(3m + -4) = 0 Reorder the terms: (3 + 2m)(3m + -4) = 0 Reorder the terms: (3 + 2m)(-4 + 3m) = 0 Multiply (3 + 2m) * (-4 + 3m) (3(-4 + 3m) + 2m * (-4 + 3m)) = 0 ((-4 * 3 + 3m * 3) + 2m * (-4 + 3m)) = 0 ((-12 + 9m) + 2m * (-4 + 3m)) = 0 (-12 + 9m + (-4 * 2m + 3m * 2m)) = 0 (-12 + 9m + (-8m + 6m2)) = 0 Combine like terms: 9m + -8m = 1m (-12 + 1m + 6m2) = 0 Solving -12 + 1m + 6m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -2m)(4 + -3m) = 0Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve: Simplifying -3 + -2m = 0 Solving -3 + -2m = 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 + -2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2m = 0 + 3 -2m = 0 + 3 Combine like terms: 0 + 3 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5Subproblem 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 = {-1.5, 1.333333333}
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