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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. (2 + -7m)(4 + -3m) = 0Subproblem 1
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 = 0.2857142857Subproblem 2
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 = 1.333333333Solution
m = {0.2857142857, 1.333333333}
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