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Simplifying 12X3 + 34X2 + 24X = 0 Reorder the terms: 24X + 34X2 + 12X3 = 0 Solving 24X + 34X2 + 12X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(12 + 17X + 6X2) = 0 Factor a trinomial. 2X((3 + 2X)(4 + 3X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(3 + 2X)' equal to zero and attempt to solve: Simplifying 3 + 2X = 0 Solving 3 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 0 + -3 2X = 0 + -3 Combine like terms: 0 + -3 = -3 2X = -3 Divide each side by '2'. X = -1.5 Simplifying X = -1.5Subproblem 3
Set the factor '(4 + 3X)' equal to zero and attempt to solve: Simplifying 4 + 3X = 0 Solving 4 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = 0 + -4 3X = 0 + -4 Combine like terms: 0 + -4 = -4 3X = -4 Divide each side by '3'. X = -1.333333333 Simplifying X = -1.333333333Solution
X = {0, -1.5, -1.333333333}
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