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Simplifying (3m + 4)(7m + -4) = 0 Reorder the terms: (4 + 3m)(7m + -4) = 0 Reorder the terms: (4 + 3m)(-4 + 7m) = 0 Multiply (4 + 3m) * (-4 + 7m) (4(-4 + 7m) + 3m * (-4 + 7m)) = 0 ((-4 * 4 + 7m * 4) + 3m * (-4 + 7m)) = 0 ((-16 + 28m) + 3m * (-4 + 7m)) = 0 (-16 + 28m + (-4 * 3m + 7m * 3m)) = 0 (-16 + 28m + (-12m + 21m2)) = 0 Combine like terms: 28m + -12m = 16m (-16 + 16m + 21m2) = 0 Solving -16 + 16m + 21m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(4 + -7m) = 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 '(4 + -7m)' equal to zero and attempt to solve: Simplifying 4 + -7m = 0 Solving 4 + -7m = 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 + -7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = 0 + -4 -7m = 0 + -4 Combine like terms: 0 + -4 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714Solution
m = {-1.333333333, 0.5714285714}
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