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Simplifying P(x) = 2x3 + 5x2 + -3x Multiply P * x xP = 2x3 + 5x2 + -3x Reorder the terms: xP = -3x + 5x2 + 2x3 Solving xP = -3x + 5x2 + 2x3 Solving for variable 'x'. Reorder the terms: 3x + xP + -5x2 + -2x3 = -3x + 5x2 + 2x3 + 3x + -5x2 + -2x3 Reorder the terms: 3x + xP + -5x2 + -2x3 = -3x + 3x + 5x2 + -5x2 + 2x3 + -2x3 Combine like terms: -3x + 3x = 0 3x + xP + -5x2 + -2x3 = 0 + 5x2 + -5x2 + 2x3 + -2x3 3x + xP + -5x2 + -2x3 = 5x2 + -5x2 + 2x3 + -2x3 Combine like terms: 5x2 + -5x2 = 0 3x + xP + -5x2 + -2x3 = 0 + 2x3 + -2x3 3x + xP + -5x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 3x + xP + -5x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3 + P + -5x + -2x2) = 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 '(3 + P + -5x + -2x2)' equal to zero and attempt to solve: Simplifying 3 + P + -5x + -2x2 = 0 Solving 3 + P + -5x + -2x2 = 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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