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Simplifying F(x) = (X + 1)(x + -1)(x + -8) Multiply F * x xF = (X + 1)(x + -1)(x + -8) Reorder the terms: xF = (1 + X)(x + -1)(x + -8) Reorder the terms: xF = (1 + X)(-1 + x)(x + -8) Reorder the terms: xF = (1 + X)(-1 + x)(-8 + x) Multiply (1 + X) * (-1 + x) xF = (1(-1 + x) + X(-1 + x))(-8 + x) xF = ((-1 * 1 + x * 1) + X(-1 + x))(-8 + x) xF = ((-1 + 1x) + X(-1 + x))(-8 + x) xF = (-1 + 1x + (-1 * X + x * X))(-8 + x) xF = (-1 + 1x + (-1X + xX))(-8 + x) Reorder the terms: xF = (-1 + -1X + 1x + xX)(-8 + x) xF = (-1 + -1X + 1x + xX)(-8 + x) Multiply (-1 + -1X + 1x + xX) * (-8 + x) xF = (-1(-8 + x) + -1X * (-8 + x) + 1x * (-8 + x) + xX(-8 + x)) xF = ((-8 * -1 + x * -1) + -1X * (-8 + x) + 1x * (-8 + x) + xX(-8 + x)) xF = ((8 + -1x) + -1X * (-8 + x) + 1x * (-8 + x) + xX(-8 + x)) xF = (8 + -1x + (-8 * -1X + x * -1X) + 1x * (-8 + x) + xX(-8 + x)) xF = (8 + -1x + (8X + -1xX) + 1x * (-8 + x) + xX(-8 + x)) xF = (8 + -1x + 8X + -1xX + (-8 * 1x + x * 1x) + xX(-8 + x)) xF = (8 + -1x + 8X + -1xX + (-8x + 1x2) + xX(-8 + x)) xF = (8 + -1x + 8X + -1xX + -8x + 1x2 + (-8 * xX + x * xX)) xF = (8 + -1x + 8X + -1xX + -8x + 1x2 + (-8xX + x2X)) Reorder the terms: xF = (8 + 8X + -1x + -8x + -1xX + -8xX + 1x2 + x2X) Combine like terms: -1x + -8x = -9x xF = (8 + 8X + -9x + -1xX + -8xX + 1x2 + x2X) Combine like terms: -1xX + -8xX = -9xX xF = (8 + 8X + -9x + -9xX + 1x2 + x2X) Solving xF = 8 + 8X + -9x + -9xX + 1x2 + x2X Solving for variable 'x'. Reorder the terms: -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 8 + 8X + -9x + -9xX + 1x2 + x2X + -8 + -8X + 9x + 9xX + -1x2 + -1x2X Reorder the terms: -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 8 + -8 + 8X + -8X + -9x + 9x + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X Combine like terms: 8 + -8 = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 + 8X + -8X + -9x + 9x + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 8X + -8X + -9x + 9x + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X Combine like terms: 8X + -8X = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 + -9x + 9x + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = -9x + 9x + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X Combine like terms: -9x + 9x = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 + -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = -9xX + 9xX + 1x2 + -1x2 + x2X + -1x2X Combine like terms: -9xX + 9xX = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 + 1x2 + -1x2 + x2X + -1x2X -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 1x2 + -1x2 + x2X + -1x2X Combine like terms: 1x2 + -1x2 = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 + x2X + -1x2X -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = x2X + -1x2X Combine like terms: x2X + -1x2X = 0 -8 + -8X + 9x + xF + 9xX + -1x2 + -1x2X = 0 The solution to this equation could not be determined.
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