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Simplifying P(x) = x4 + -2x3 + -7x2 + 8x + 12 Multiply P * x xP = x4 + -2x3 + -7x2 + 8x + 12 Reorder the terms: xP = 12 + 8x + -7x2 + -2x3 + x4 Solving xP = 12 + 8x + -7x2 + -2x3 + x4 Solving for variable 'x'. Reorder the terms: -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 12 + 8x + -7x2 + -2x3 + x4 + -12 + -8x + 7x2 + 2x3 + -1x4 Reorder the terms: -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 12 + -12 + 8x + -8x + -7x2 + 7x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: 12 + -12 = 0 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 0 + 8x + -8x + -7x2 + 7x2 + -2x3 + 2x3 + x4 + -1x4 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 8x + -8x + -7x2 + 7x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: 8x + -8x = 0 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 0 + -7x2 + 7x2 + -2x3 + 2x3 + x4 + -1x4 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = -7x2 + 7x2 + -2x3 + 2x3 + x4 + -1x4 Combine like terms: -7x2 + 7x2 = 0 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4 Combine like terms: -2x3 + 2x3 = 0 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 0 + x4 + -1x4 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -12 + -8x + xP + 7x2 + 2x3 + -1x4 = 0 The solution to this equation could not be determined.
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