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Simplifying -4m2 + -56m + -160 = 0 Reorder the terms: -160 + -56m + -4m2 = 0 Solving -160 + -56m + -4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '-4'. -4(40 + 14m + m2) = 0 Factor a trinomial. -4((10 + m)(4 + m)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Subproblem 2
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 = -4Solution
m = {-10, -4}
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