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Simplifying 50m3 + -32m = 0 Reorder the terms: -32m + 50m3 = 0 Solving -32m + 50m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-16 + 25m2) = 0 Factor a difference between two squares. 2m((4 + 5m)(-4 + 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 '(4 + 5m)' equal to zero and attempt to solve: Simplifying 4 + 5m = 0 Solving 4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5m = 0 + -4 5m = 0 + -4 Combine like terms: 0 + -4 = -4 5m = -4 Divide each side by '5'. m = -0.8 Simplifying m = -0.8Subproblem 3
Set the factor '(-4 + 5m)' equal to zero and attempt to solve: Simplifying -4 + 5m = 0 Solving -4 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5m = 0 + 4 5m = 0 + 4 Combine like terms: 0 + 4 = 4 5m = 4 Divide each side by '5'. m = 0.8 Simplifying m = 0.8Solution
m = {0, -0.8, 0.8}
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