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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. (-4 + -3m)(3 + -2m) = 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 + -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 = 1.5Solution
m = {-1.333333333, 1.5}
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