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Simplifying P(x) = x3 + -9x Multiply P * x xP = x3 + -9x Reorder the terms: xP = -9x + x3 Solving xP = -9x + x3 Solving for variable 'x'. Reorder the terms: 9x + xP + -1x3 = -9x + x3 + 9x + -1x3 Reorder the terms: 9x + xP + -1x3 = -9x + 9x + x3 + -1x3 Combine like terms: -9x + 9x = 0 9x + xP + -1x3 = 0 + x3 + -1x3 9x + xP + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 9x + xP + -1x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + P + -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 '(9 + P + -1x2)' equal to zero and attempt to solve: Simplifying 9 + P + -1x2 = 0 Solving 9 + P + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + P + -9 + -1x2 = 0 + -9 Reorder the terms: 9 + -9 + P + -1x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + P + -1x2 = 0 + -9 P + -1x2 = 0 + -9 Combine like terms: 0 + -9 = -9 P + -1x2 = -9 Add '-1P' to each side of the equation. P + -1P + -1x2 = -9 + -1P Combine like terms: P + -1P = 0 0 + -1x2 = -9 + -1P -1x2 = -9 + -1P Divide each side by '-1'. x2 = 9 + P Simplifying x2 = 9 + P 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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