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Simplifying P(x) = (x + -1)(-1x + -1) + -2(x + -1) Multiply P * x xP = (x + -1)(-1x + -1) + -2(x + -1) Reorder the terms: xP = (-1 + x)(-1x + -1) + -2(x + -1) Reorder the terms: xP = (-1 + x)(-1 + -1x) + -2(x + -1) Multiply (-1 + x) * (-1 + -1x) xP = (-1(-1 + -1x) + x(-1 + -1x)) + -2(x + -1) xP = ((-1 * -1 + -1x * -1) + x(-1 + -1x)) + -2(x + -1) xP = ((1 + 1x) + x(-1 + -1x)) + -2(x + -1) xP = (1 + 1x + (-1 * x + -1x * x)) + -2(x + -1) xP = (1 + 1x + (-1x + -1x2)) + -2(x + -1) Combine like terms: 1x + -1x = 0 xP = (1 + 0 + -1x2) + -2(x + -1) xP = (1 + -1x2) + -2(x + -1) Reorder the terms: xP = 1 + -1x2 + -2(-1 + x) xP = 1 + -1x2 + (-1 * -2 + x * -2) xP = 1 + -1x2 + (2 + -2x) Reorder the terms: xP = 1 + 2 + -2x + -1x2 Combine like terms: 1 + 2 = 3 xP = 3 + -2x + -1x2 Solving xP = 3 + -2x + -1x2 Solving for variable 'x'. Reorder the terms: -3 + 2x + xP + x2 = 3 + -2x + -1x2 + -3 + 2x + x2 Reorder the terms: -3 + 2x + xP + x2 = 3 + -3 + -2x + 2x + -1x2 + x2 Combine like terms: 3 + -3 = 0 -3 + 2x + xP + x2 = 0 + -2x + 2x + -1x2 + x2 -3 + 2x + xP + x2 = -2x + 2x + -1x2 + x2 Combine like terms: -2x + 2x = 0 -3 + 2x + xP + x2 = 0 + -1x2 + x2 -3 + 2x + xP + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + 2x + xP + x2 = 0 The solution to this equation could not be determined.
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