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Simplifying -1m2 = 20 + 12m Solving -1m2 = 20 + 12m Solving for variable 'm'. Reorder the terms: -20 + -12m + -1m2 = 20 + 12m + -20 + -12m Reorder the terms: -20 + -12m + -1m2 = 20 + -20 + 12m + -12m Combine like terms: 20 + -20 = 0 -20 + -12m + -1m2 = 0 + 12m + -12m -20 + -12m + -1m2 = 12m + -12m Combine like terms: 12m + -12m = 0 -20 + -12m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 12m + m2) = 0 Factor a trinomial. -1((10 + m)(2 + m)) = 0 Ignore the factor -1.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 '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {-10, -2}
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