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Simplifying -12 = 5m2 + 19m Reorder the terms: -12 = 19m + 5m2 Solving -12 = 19m + 5m2 Solving for variable 'm'. Reorder the terms: -12 + -19m + -5m2 = 19m + -19m + 5m2 + -5m2 Combine like terms: 19m + -19m = 0 -12 + -19m + -5m2 = 0 + 5m2 + -5m2 -12 + -19m + -5m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 -12 + -19m + -5m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 19m + 5m2) = 0 Factor a trinomial. -1((3 + m)(4 + 5m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 2
Set the factor '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 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 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Solution
m = {-3, -0.8}
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