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Simplifying P(x) = x5 + -3x4 + 12x3 + -28x2 + 27x + -9 Multiply P * x xP = x5 + -3x4 + 12x3 + -28x2 + 27x + -9 Reorder the terms: xP = -9 + 27x + -28x2 + 12x3 + -3x4 + x5 Solving xP = -9 + 27x + -28x2 + 12x3 + -3x4 + x5 Solving for variable 'x'. Reorder the terms: 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = -9 + 27x + -28x2 + 12x3 + -3x4 + x5 + 9 + -27x + 28x2 + -12x3 + 3x4 + -1x5 Reorder the terms: 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = -9 + 9 + 27x + -27x + -28x2 + 28x2 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 Combine like terms: -9 + 9 = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 + 27x + -27x + -28x2 + 28x2 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 27x + -27x + -28x2 + 28x2 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 Combine like terms: 27x + -27x = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 + -28x2 + 28x2 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = -28x2 + 28x2 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 Combine like terms: -28x2 + 28x2 = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 + 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 12x3 + -12x3 + -3x4 + 3x4 + x5 + -1x5 Combine like terms: 12x3 + -12x3 = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 + -3x4 + 3x4 + x5 + -1x5 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = -3x4 + 3x4 + x5 + -1x5 Combine like terms: -3x4 + 3x4 = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 + x5 + -1x5 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 9 + -27x + xP + 28x2 + -12x3 + 3x4 + -1x5 = 0 The solution to this equation could not be determined.
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