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Simplifying P(x) = x3 + 5x2 + 4x Multiply P * x xP = x3 + 5x2 + 4x Reorder the terms: xP = 4x + 5x2 + x3 Solving xP = 4x + 5x2 + x3 Solving for variable 'x'. Reorder the terms: -4x + xP + -5x2 + -1x3 = 4x + 5x2 + x3 + -4x + -5x2 + -1x3 Reorder the terms: -4x + xP + -5x2 + -1x3 = 4x + -4x + 5x2 + -5x2 + x3 + -1x3 Combine like terms: 4x + -4x = 0 -4x + xP + -5x2 + -1x3 = 0 + 5x2 + -5x2 + x3 + -1x3 -4x + xP + -5x2 + -1x3 = 5x2 + -5x2 + x3 + -1x3 Combine like terms: 5x2 + -5x2 = 0 -4x + xP + -5x2 + -1x3 = 0 + x3 + -1x3 -4x + xP + -5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -4x + xP + -5x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + P + -5x + -1x2) = 0Subproblem 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 + P + -5x + -1x2)' equal to zero and attempt to solve: Simplifying -4 + P + -5x + -1x2 = 0 Solving -4 + P + -5x + -1x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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