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Simplifying 4X3 + 26X2 + 40X = 0 Reorder the terms: 40X + 26X2 + 4X3 = 0 Solving 40X + 26X2 + 4X3 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X'. 2X(20 + 13X + 2X2) = 0 Factor a trinomial. 2X((4 + X)(5 + 2X)) = 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 '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Subproblem 3
Set the factor '(5 + 2X)' equal to zero and attempt to solve: Simplifying 5 + 2X = 0 Solving 5 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2X = 0 + -5 2X = 0 + -5 Combine like terms: 0 + -5 = -5 2X = -5 Divide each side by '2'. X = -2.5 Simplifying X = -2.5Solution
X = {0, -4, -2.5}
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