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Simplifying 1521m3 + 936m2 + 144m = 0 Reorder the terms: 144m + 936m2 + 1521m3 = 0 Solving 144m + 936m2 + 1521m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '9m'. 9m(16 + 104m + 169m2) = 0 Factor a trinomial. 9m((4 + 13m)(4 + 13m)) = 0 Ignore the factor 9.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 '(4 + 13m)' equal to zero and attempt to solve: Simplifying 4 + 13m = 0 Solving 4 + 13m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13m = 0 + -4 13m = 0 + -4 Combine like terms: 0 + -4 = -4 13m = -4 Divide each side by '13'. m = -0.3076923077 Simplifying m = -0.3076923077Subproblem 3
Set the factor '(4 + 13m)' equal to zero and attempt to solve: Simplifying 4 + 13m = 0 Solving 4 + 13m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 13m = 0 + -4 13m = 0 + -4 Combine like terms: 0 + -4 = -4 13m = -4 Divide each side by '13'. m = -0.3076923077 Simplifying m = -0.3076923077Solution
m = {0, -0.3076923077, -0.3076923077}
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