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Simplifying X5 + 12X4 + 32X3 = 0 Reorder the terms: 32X3 + 12X4 + X5 = 0 Solving 32X3 + 12X4 + X5 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X3'. X3(32 + 12X + X2) = 0 Factor a trinomial. X3((8 + X)(4 + X)) = 0Subproblem 1
Set the factor 'X3' equal to zero and attempt to solve: Simplifying X3 = 0 Solving X3 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + X)' equal to zero and attempt to solve: Simplifying 8 + X = 0 Solving 8 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + X = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X = 0 + -8 X = 0 + -8 Combine like terms: 0 + -8 = -8 X = -8 Simplifying X = -8Subproblem 3
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 = -4Solution
X = {-8, -4}
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