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Simplifying (7m + -2)(3m + 4) = 0 Reorder the terms: (-2 + 7m)(3m + 4) = 0 Reorder the terms: (-2 + 7m)(4 + 3m) = 0 Multiply (-2 + 7m) * (4 + 3m) (-2(4 + 3m) + 7m * (4 + 3m)) = 0 ((4 * -2 + 3m * -2) + 7m * (4 + 3m)) = 0 ((-8 + -6m) + 7m * (4 + 3m)) = 0 (-8 + -6m + (4 * 7m + 3m * 7m)) = 0 (-8 + -6m + (28m + 21m2)) = 0 Combine like terms: -6m + 28m = 22m (-8 + 22m + 21m2) = 0 Solving -8 + 22m + 21m2 = 0 Solving for variable 'm'. Factor a trinomial. (-4 + -3m)(2 + -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 '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {-1.333333333, 0.2857142857}
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