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Simplifying -2m(m + 4) + -1m + -2 = -3(m + 4) + 2 Reorder the terms: -2m(4 + m) + -1m + -2 = -3(m + 4) + 2 (4 * -2m + m * -2m) + -1m + -2 = -3(m + 4) + 2 (-8m + -2m2) + -1m + -2 = -3(m + 4) + 2 Reorder the terms: -2 + -8m + -1m + -2m2 = -3(m + 4) + 2 Combine like terms: -8m + -1m = -9m -2 + -9m + -2m2 = -3(m + 4) + 2 Reorder the terms: -2 + -9m + -2m2 = -3(4 + m) + 2 -2 + -9m + -2m2 = (4 * -3 + m * -3) + 2 -2 + -9m + -2m2 = (-12 + -3m) + 2 Reorder the terms: -2 + -9m + -2m2 = -12 + 2 + -3m Combine like terms: -12 + 2 = -10 -2 + -9m + -2m2 = -10 + -3m Solving -2 + -9m + -2m2 = -10 + -3m Solving for variable 'm'. Reorder the terms: -2 + 10 + -9m + 3m + -2m2 = -10 + -3m + 10 + 3m Combine like terms: -2 + 10 = 8 8 + -9m + 3m + -2m2 = -10 + -3m + 10 + 3m Combine like terms: -9m + 3m = -6m 8 + -6m + -2m2 = -10 + -3m + 10 + 3m Reorder the terms: 8 + -6m + -2m2 = -10 + 10 + -3m + 3m Combine like terms: -10 + 10 = 0 8 + -6m + -2m2 = 0 + -3m + 3m 8 + -6m + -2m2 = -3m + 3m Combine like terms: -3m + 3m = 0 8 + -6m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3m + -1m2) = 0 Factor a trinomial. 2((1 + -1m)(4 + m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 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 = {1, -4}
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