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