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Simplifying 2m3 + -72m = 0 Reorder the terms: -72m + 2m3 = 0 Solving -72m + 2m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-36 + m2) = 0 Factor a difference between two squares. 2m((6 + m)(-6 + 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 '(6 + m)' equal to zero and attempt to solve: Simplifying 6 + m = 0 Solving 6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + m = 0 + -6 m = 0 + -6 Combine like terms: 0 + -6 = -6 m = -6 Simplifying m = -6Subproblem 3
Set the factor '(-6 + m)' equal to zero and attempt to solve: Simplifying -6 + m = 0 Solving -6 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + m = 0 + 6 m = 0 + 6 Combine like terms: 0 + 6 = 6 m = 6 Simplifying m = 6Solution
m = {0, -6, 6}
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