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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 = 34m (8 + 34m + 21m2) = 0 Solving 8 + 34m + 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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