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Simplifying P(x) = x4 + -4x3 + -5x2 + 38x + -30 Multiply P * x xP = x4 + -4x3 + -5x2 + 38x + -30 Reorder the terms: xP = -30 + 38x + -5x2 + -4x3 + x4 Solving xP = -30 + 38x + -5x2 + -4x3 + x4 Solving for variable 'x'. Reorder the terms: 30 + -38x + xP + 5x2 + 4x3 + -1x4 = -30 + 38x + -5x2 + -4x3 + x4 + 30 + -38x + 5x2 + 4x3 + -1x4 Reorder the terms: 30 + -38x + xP + 5x2 + 4x3 + -1x4 = -30 + 30 + 38x + -38x + -5x2 + 5x2 + -4x3 + 4x3 + x4 + -1x4 Combine like terms: -30 + 30 = 0 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 0 + 38x + -38x + -5x2 + 5x2 + -4x3 + 4x3 + x4 + -1x4 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 38x + -38x + -5x2 + 5x2 + -4x3 + 4x3 + x4 + -1x4 Combine like terms: 38x + -38x = 0 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 0 + -5x2 + 5x2 + -4x3 + 4x3 + x4 + -1x4 30 + -38x + xP + 5x2 + 4x3 + -1x4 = -5x2 + 5x2 + -4x3 + 4x3 + x4 + -1x4 Combine like terms: -5x2 + 5x2 = 0 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 0 + -4x3 + 4x3 + x4 + -1x4 30 + -38x + xP + 5x2 + 4x3 + -1x4 = -4x3 + 4x3 + x4 + -1x4 Combine like terms: -4x3 + 4x3 = 0 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 0 + x4 + -1x4 30 + -38x + xP + 5x2 + 4x3 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 30 + -38x + xP + 5x2 + 4x3 + -1x4 = 0 The solution to this equation could not be determined.
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