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Simplifying P(x) = 6x3 + -22x2 + 12x Multiply P * x xP = 6x3 + -22x2 + 12x Reorder the terms: xP = 12x + -22x2 + 6x3 Solving xP = 12x + -22x2 + 6x3 Solving for variable 'x'. Reorder the terms: -12x + xP + 22x2 + -6x3 = 12x + -22x2 + 6x3 + -12x + 22x2 + -6x3 Reorder the terms: -12x + xP + 22x2 + -6x3 = 12x + -12x + -22x2 + 22x2 + 6x3 + -6x3 Combine like terms: 12x + -12x = 0 -12x + xP + 22x2 + -6x3 = 0 + -22x2 + 22x2 + 6x3 + -6x3 -12x + xP + 22x2 + -6x3 = -22x2 + 22x2 + 6x3 + -6x3 Combine like terms: -22x2 + 22x2 = 0 -12x + xP + 22x2 + -6x3 = 0 + 6x3 + -6x3 -12x + xP + 22x2 + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 -12x + xP + 22x2 + -6x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + P + 22x + -6x2) = 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 '(-12 + P + 22x + -6x2)' equal to zero and attempt to solve: Simplifying -12 + P + 22x + -6x2 = 0 Solving -12 + P + 22x + -6x2 = 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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