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Simplifying P(x) = 3x3 + -5x2 + -8x Multiply P * x xP = 3x3 + -5x2 + -8x Reorder the terms: xP = -8x + -5x2 + 3x3 Solving xP = -8x + -5x2 + 3x3 Solving for variable 'x'. Reorder the terms: 8x + xP + 5x2 + -3x3 = -8x + -5x2 + 3x3 + 8x + 5x2 + -3x3 Reorder the terms: 8x + xP + 5x2 + -3x3 = -8x + 8x + -5x2 + 5x2 + 3x3 + -3x3 Combine like terms: -8x + 8x = 0 8x + xP + 5x2 + -3x3 = 0 + -5x2 + 5x2 + 3x3 + -3x3 8x + xP + 5x2 + -3x3 = -5x2 + 5x2 + 3x3 + -3x3 Combine like terms: -5x2 + 5x2 = 0 8x + xP + 5x2 + -3x3 = 0 + 3x3 + -3x3 8x + xP + 5x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 8x + xP + 5x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + P + 5x + -3x2) = 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 '(8 + P + 5x + -3x2)' equal to zero and attempt to solve: Simplifying 8 + P + 5x + -3x2 = 0 Solving 8 + P + 5x + -3x2 = 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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