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Simplifying (2m + 3)(4m + -3) = 0 Reorder the terms: (3 + 2m)(4m + -3) = 0 Reorder the terms: (3 + 2m)(-3 + 4m) = 0 Multiply (3 + 2m) * (-3 + 4m) (3(-3 + 4m) + 2m * (-3 + 4m)) = 0 ((-3 * 3 + 4m * 3) + 2m * (-3 + 4m)) = 0 ((-9 + 12m) + 2m * (-3 + 4m)) = 0 (-9 + 12m + (-3 * 2m + 4m * 2m)) = 0 (-9 + 12m + (-6m + 8m2)) = 0 Combine like terms: 12m + -6m = 6m (-9 + 6m + 8m2) = 0 Solving -9 + 6m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -2m)(3 + -4m) = 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 '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 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 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75Solution
m = {-1.5, 0.75}
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