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Simplifying 20m2 + 42m + 18 = 0 Reorder the terms: 18 + 42m + 20m2 = 0 Solving 18 + 42m + 20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 21m + 10m2) = 0 Factor a trinomial. 2((3 + 2m)(3 + 5m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2m)' equal to zero and attempt to solve: Simplifying 3 + 2m = 0 Solving 3 + 2m = 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 + 2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 0 + -3 2m = 0 + -3 Combine like terms: 0 + -3 = -3 2m = -3 Divide each side by '2'. m = -1.5 Simplifying m = -1.5Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 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 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Solution
m = {-1.5, -0.6}
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