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Simplifying 20m3 + 25m2 = 0 Reorder the terms: 25m2 + 20m3 = 0 Solving 25m2 + 20m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5m2'. 5m2(5 + 4m) = 0 Ignore the factor 5.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 '(5 + 4m)' equal to zero and attempt to solve: Simplifying 5 + 4m = 0 Solving 5 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4m = 0 + -5 4m = 0 + -5 Combine like terms: 0 + -5 = -5 4m = -5 Divide each side by '4'. m = -1.25 Simplifying m = -1.25Solution
m = {0, -1.25}
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