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Simplifying m3 + 26m2 + 169m = 0 Reorder the terms: 169m + 26m2 + m3 = 0 Solving 169m + 26m2 + m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(169 + 26m + m2) = 0 Factor a trinomial. m((13 + m)(13 + 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 '(13 + m)' equal to zero and attempt to solve: Simplifying 13 + m = 0 Solving 13 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + m = 0 + -13 m = 0 + -13 Combine like terms: 0 + -13 = -13 m = -13 Simplifying m = -13Subproblem 3
Set the factor '(13 + m)' equal to zero and attempt to solve: Simplifying 13 + m = 0 Solving 13 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + m = 0 + -13 m = 0 + -13 Combine like terms: 0 + -13 = -13 m = -13 Simplifying m = -13Solution
m = {0, -13, -13}
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