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Simplifying -20 = 3m2 + 32m Reorder the terms: -20 = 32m + 3m2 Solving -20 = 32m + 3m2 Solving for variable 'm'. Reorder the terms: -20 + -32m + -3m2 = 32m + -32m + 3m2 + -3m2 Combine like terms: 32m + -32m = 0 -20 + -32m + -3m2 = 0 + 3m2 + -3m2 -20 + -32m + -3m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 -20 + -32m + -3m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 32m + 3m2) = 0 Factor a trinomial. -1((10 + m)(2 + 3m)) = 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 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 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 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Solution
m = {-10, -0.6666666667}
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