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Simplifying 4m(2m + 9m2) = 0 (2m * 4m + 9m2 * 4m) = 0 (8m2 + 36m3) = 0 Solving 8m2 + 36m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m2'. 4m2(2 + 9m) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(2 + 9m)' equal to zero and attempt to solve: Simplifying 2 + 9m = 0 Solving 2 + 9m = 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 + 9m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9m = 0 + -2 9m = 0 + -2 Combine like terms: 0 + -2 = -2 9m = -2 Divide each side by '9'. m = -0.2222222222 Simplifying m = -0.2222222222Solution
m = {0, -0.2222222222}
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