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Simplifying P(x) = 8x3 + -56x2 + 48x Multiply P * x xP = 8x3 + -56x2 + 48x Reorder the terms: xP = 48x + -56x2 + 8x3 Solving xP = 48x + -56x2 + 8x3 Solving for variable 'x'. Reorder the terms: -48x + xP + 56x2 + -8x3 = 48x + -56x2 + 8x3 + -48x + 56x2 + -8x3 Reorder the terms: -48x + xP + 56x2 + -8x3 = 48x + -48x + -56x2 + 56x2 + 8x3 + -8x3 Combine like terms: 48x + -48x = 0 -48x + xP + 56x2 + -8x3 = 0 + -56x2 + 56x2 + 8x3 + -8x3 -48x + xP + 56x2 + -8x3 = -56x2 + 56x2 + 8x3 + -8x3 Combine like terms: -56x2 + 56x2 = 0 -48x + xP + 56x2 + -8x3 = 0 + 8x3 + -8x3 -48x + xP + 56x2 + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -48x + xP + 56x2 + -8x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-48 + P + 56x + -8x2) = 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 '(-48 + P + 56x + -8x2)' equal to zero and attempt to solve: Simplifying -48 + P + 56x + -8x2 = 0 Solving -48 + P + 56x + -8x2 = 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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