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Simplifying 7m3 + 25m2 + 12m = 0 Reorder the terms: 12m + 25m2 + 7m3 = 0 Solving 12m + 25m2 + 7m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(12 + 25m + 7m2) = 0 Factor a trinomial. m((3 + m)(4 + 7m)) = 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 '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 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 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3Subproblem 3
Set the factor '(4 + 7m)' equal to zero and attempt to solve: Simplifying 4 + 7m = 0 Solving 4 + 7m = 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 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714Solution
m = {0, -3, -0.5714285714}
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