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Simplifying m3 + -196m = 0 Reorder the terms: -196m + m3 = 0 Solving -196m + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-196 + m2) = 0 Factor a difference between two squares. m((14 + m)(-14 + m)) = 0Subproblem 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 '(14 + m)' equal to zero and attempt to solve: Simplifying 14 + m = 0 Solving 14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + m = 0 + -14 m = 0 + -14 Combine like terms: 0 + -14 = -14 m = -14 Simplifying m = -14Subproblem 3
Set the factor '(-14 + m)' equal to zero and attempt to solve: Simplifying -14 + m = 0 Solving -14 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + m = 0 + 14 m = 0 + 14 Combine like terms: 0 + 14 = 14 m = 14 Simplifying m = 14Solution
m = {0, -14, 14}
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