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Simplifying P(x) = x4 + -2x3 + 4x2 + -2x + -2 Multiply P * x xP = x4 + -2x3 + 4x2 + -2x + -2 Reorder the terms: xP = -2 + -2x + 4x2 + -2x3 + x4 Solving xP = -2 + -2x + 4x2 + -2x3 + x4 Solving for variable 'x'. Reorder the terms: 2 + 2x + xP + -4x2 + 2x3 + -1x4 = -2 + -2x + 4x2 + -2x3 + x4 + 2 + 2x + -4x2 + 2x3 + -1x4 Reorder the terms: 2 + 2x + xP + -4x2 + 2x3 + -1x4 = -2 + 2 + -2x + 2x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: -2 + 2 = 0 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 0 + -2x + 2x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 2 + 2x + xP + -4x2 + 2x3 + -1x4 = -2x + 2x + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: -2x + 2x = 0 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 0 + 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 4x2 + -4x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: 4x2 + -4x2 = 0 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4 2 + 2x + xP + -4x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4 Combine like terms: -2x3 + 2x3 = 0 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 0 + x4 + -1x4 2 + 2x + xP + -4x2 + 2x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 2 + 2x + xP + -4x2 + 2x3 + -1x4 = 0 The solution to this equation could not be determined.
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