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Simplifying 8m3 + 14m2 + 6m = 0 Reorder the terms: 6m + 14m2 + 8m3 = 0 Solving 6m + 14m2 + 8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(3 + 7m + 4m2) = 0 Factor a trinomial. 2m((1 + m)(3 + 4m)) = 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 '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Subproblem 3
Set the factor '(3 + 4m)' equal to zero and attempt to solve: Simplifying 3 + 4m = 0 Solving 3 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 0 + -3 4m = 0 + -3 Combine like terms: 0 + -3 = -3 4m = -3 Divide each side by '4'. m = -0.75 Simplifying m = -0.75Solution
m = {0, -1, -0.75}
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