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Simplifying 2m2 + -1m + -6 = 5(m2 + m + -6) Reorder the terms: -6 + -1m + 2m2 = 5(m2 + m + -6) Reorder the terms: -6 + -1m + 2m2 = 5(-6 + m + m2) -6 + -1m + 2m2 = (-6 * 5 + m * 5 + m2 * 5) -6 + -1m + 2m2 = (-30 + 5m + 5m2) Solving -6 + -1m + 2m2 = -30 + 5m + 5m2 Solving for variable 'm'. Reorder the terms: -6 + 30 + -1m + -5m + 2m2 + -5m2 = -30 + 5m + 5m2 + 30 + -5m + -5m2 Combine like terms: -6 + 30 = 24 24 + -1m + -5m + 2m2 + -5m2 = -30 + 5m + 5m2 + 30 + -5m + -5m2 Combine like terms: -1m + -5m = -6m 24 + -6m + 2m2 + -5m2 = -30 + 5m + 5m2 + 30 + -5m + -5m2 Combine like terms: 2m2 + -5m2 = -3m2 24 + -6m + -3m2 = -30 + 5m + 5m2 + 30 + -5m + -5m2 Reorder the terms: 24 + -6m + -3m2 = -30 + 30 + 5m + -5m + 5m2 + -5m2 Combine like terms: -30 + 30 = 0 24 + -6m + -3m2 = 0 + 5m + -5m + 5m2 + -5m2 24 + -6m + -3m2 = 5m + -5m + 5m2 + -5m2 Combine like terms: 5m + -5m = 0 24 + -6m + -3m2 = 0 + 5m2 + -5m2 24 + -6m + -3m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 24 + -6m + -3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -2m + -1m2) = 0 Factor a trinomial. 3((2 + -1m)(4 + m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 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 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 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 = {2, -4}
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