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Simplifying 4m3 + 44m2 + 121m = 0 Reorder the terms: 121m + 44m2 + 4m3 = 0 Solving 121m + 44m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(121 + 44m + 4m2) = 0 Factor a trinomial. m((11 + 2m)(11 + 2m)) = 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 '(11 + 2m)' equal to zero and attempt to solve: Simplifying 11 + 2m = 0 Solving 11 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2m = 0 + -11 2m = 0 + -11 Combine like terms: 0 + -11 = -11 2m = -11 Divide each side by '2'. m = -5.5 Simplifying m = -5.5Subproblem 3
Set the factor '(11 + 2m)' equal to zero and attempt to solve: Simplifying 11 + 2m = 0 Solving 11 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2m = 0 + -11 2m = 0 + -11 Combine like terms: 0 + -11 = -11 2m = -11 Divide each side by '2'. m = -5.5 Simplifying m = -5.5Solution
m = {0, -5.5, -5.5}
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