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Simplifying 8m3 + -162m = 0 Reorder the terms: -162m + 8m3 = 0 Solving -162m + 8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-81 + 4m2) = 0 Factor a difference between two squares. 2m((9 + 2m)(-9 + 2m)) = 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 '(9 + 2m)' equal to zero and attempt to solve: Simplifying 9 + 2m = 0 Solving 9 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2m = 0 + -9 2m = 0 + -9 Combine like terms: 0 + -9 = -9 2m = -9 Divide each side by '2'. m = -4.5 Simplifying m = -4.5Subproblem 3
Set the factor '(-9 + 2m)' equal to zero and attempt to solve: Simplifying -9 + 2m = 0 Solving -9 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2m = 0 + 9 2m = 0 + 9 Combine like terms: 0 + 9 = 9 2m = 9 Divide each side by '2'. m = 4.5 Simplifying m = 4.5Solution
m = {0, -4.5, 4.5}
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