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Simplifying 20m3 = 5m Solving 20m3 = 5m Solving for variable 'm'. Reorder the terms: -5m + 20m3 = 5m + -5m Combine like terms: 5m + -5m = 0 -5m + 20m3 = 0 Factor out the Greatest Common Factor (GCF), '5m'. 5m(-1 + 4m2) = 0 Factor a difference between two squares. 5m((1 + 2m)(-1 + 2m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve: Simplifying 1 + 2m = 0 Solving 1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m = 0 + -1 2m = 0 + -1 Combine like terms: 0 + -1 = -1 2m = -1 Divide each side by '2'. m = -0.5 Simplifying m = -0.5Subproblem 3
Set the factor '(-1 + 2m)' equal to zero and attempt to solve: Simplifying -1 + 2m = 0 Solving -1 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 0 + 1 2m = 0 + 1 Combine like terms: 0 + 1 = 1 2m = 1 Divide each side by '2'. m = 0.5 Simplifying m = 0.5Solution
m = {0, -0.5, 0.5}
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