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Simplifying 14 = 2m(m + -6) Reorder the terms: 14 = 2m(-6 + m) 14 = (-6 * 2m + m * 2m) 14 = (-12m + 2m2) Solving 14 = -12m + 2m2 Solving for variable 'm'. Reorder the terms: 14 + 12m + -2m2 = -12m + 12m + 2m2 + -2m2 Combine like terms: -12m + 12m = 0 14 + 12m + -2m2 = 0 + 2m2 + -2m2 14 + 12m + -2m2 = 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 14 + 12m + -2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7 + 6m + -1m2) = 0 Factor a trinomial. 2((7 + -1m)(1 + m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 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 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {7, -1}
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