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