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Simplifying 50m3 + -2m = 0 Reorder the terms: -2m + 50m3 = 0 Solving -2m + 50m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-1 + 25m2) = 0 Factor a difference between two squares. 2m((1 + 5m)(-1 + 5m)) = 0 Ignore the factor 2.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 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2Subproblem 3
Set the factor '(-1 + 5m)' equal to zero and attempt to solve: Simplifying -1 + 5m = 0 Solving -1 + 5m = 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 + 5m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5m = 0 + 1 5m = 0 + 1 Combine like terms: 0 + 1 = 1 5m = 1 Divide each side by '5'. m = 0.2 Simplifying m = 0.2Solution
m = {0, -0.2, 0.2}
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