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Simplifying (-7m + -4)(-2m + -8) = 0 Reorder the terms: (-4 + -7m)(-2m + -8) = 0 Reorder the terms: (-4 + -7m)(-8 + -2m) = 0 Multiply (-4 + -7m) * (-8 + -2m) (-4(-8 + -2m) + -7m * (-8 + -2m)) = 0 ((-8 * -4 + -2m * -4) + -7m * (-8 + -2m)) = 0 ((32 + 8m) + -7m * (-8 + -2m)) = 0 (32 + 8m + (-8 * -7m + -2m * -7m)) = 0 (32 + 8m + (56m + 14m2)) = 0 Combine like terms: 8m + 56m = 64m (32 + 64m + 14m2) = 0 Solving 32 + 64m + 14m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 32m + 7m2) = 0 Factor a trinomial. 2((4 + m)(4 + 7m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 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 = {-4, -0.5714285714}
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