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Simplifying (7m + -1)(8m + 4) = 0 Reorder the terms: (-1 + 7m)(8m + 4) = 0 Reorder the terms: (-1 + 7m)(4 + 8m) = 0 Multiply (-1 + 7m) * (4 + 8m) (-1(4 + 8m) + 7m * (4 + 8m)) = 0 ((4 * -1 + 8m * -1) + 7m * (4 + 8m)) = 0 ((-4 + -8m) + 7m * (4 + 8m)) = 0 (-4 + -8m + (4 * 7m + 8m * 7m)) = 0 (-4 + -8m + (28m + 56m2)) = 0 Combine like terms: -8m + 28m = 20m (-4 + 20m + 56m2) = 0 Solving -4 + 20m + 56m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + 5m + 14m2) = 0 Factor a trinomial. 4((-1 + -2m)(1 + -7m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve: Simplifying -1 + -2m = 0 Solving -1 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 0 + 1 -2m = 0 + 1 Combine like terms: 0 + 1 = 1 -2m = 1 Divide each side by '-2'. m = -0.5 Simplifying m = -0.5Subproblem 2
Set the factor '(1 + -7m)' equal to zero and attempt to solve: Simplifying 1 + -7m = 0 Solving 1 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7m = 0 + -1 -7m = 0 + -1 Combine like terms: 0 + -1 = -1 -7m = -1 Divide each side by '-7'. m = 0.1428571429 Simplifying m = 0.1428571429Solution
m = {-0.5, 0.1428571429}
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