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Simplifying (8m + -3)(4m + 3) = 0 Reorder the terms: (-3 + 8m)(4m + 3) = 0 Reorder the terms: (-3 + 8m)(3 + 4m) = 0 Multiply (-3 + 8m) * (3 + 4m) (-3(3 + 4m) + 8m * (3 + 4m)) = 0 ((3 * -3 + 4m * -3) + 8m * (3 + 4m)) = 0 ((-9 + -12m) + 8m * (3 + 4m)) = 0 (-9 + -12m + (3 * 8m + 4m * 8m)) = 0 (-9 + -12m + (24m + 32m2)) = 0 Combine like terms: -12m + 24m = 12m (-9 + 12m + 32m2) = 0 Solving -9 + 12m + 32m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -4m)(3 + -8m) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(3 + -8m)' equal to zero and attempt to solve: Simplifying 3 + -8m = 0 Solving 3 + -8m = 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 + -8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8m = 0 + -3 -8m = 0 + -3 Combine like terms: 0 + -3 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375Solution
m = {-0.75, 0.375}
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