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Simplifying X(x + -1) + x(2 + -1x) + 8 = 0 Reorder the terms: X(-1 + x) + x(2 + -1x) + 8 = 0 (-1 * X + x * X) + x(2 + -1x) + 8 = 0 (-1X + xX) + x(2 + -1x) + 8 = 0 -1X + xX + (2 * x + -1x * x) + 8 = 0 -1X + xX + (2x + -1x2) + 8 = 0 Reorder the terms: 8 + -1X + 2x + xX + -1x2 = 0 Solving 8 + -1X + 2x + xX + -1x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1X + 2x + xX + -8 + -1x2 = 0 + -8 Reorder the terms: 8 + -8 + -1X + 2x + xX + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X + 2x + xX + -1x2 = 0 + -8 -1X + 2x + xX + -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1X + 2x + xX + -1x2 = -8 Add '-2x' to each side of the equation. -1X + 2x + xX + -2x + -1x2 = -8 + -2x Reorder the terms: -1X + 2x + -2x + xX + -1x2 = -8 + -2x Combine like terms: 2x + -2x = 0 -1X + 0 + xX + -1x2 = -8 + -2x -1X + xX + -1x2 = -8 + -2x Add 'x2' to each side of the equation. -1X + xX + -1x2 + x2 = -8 + -2x + x2 Combine like terms: -1x2 + x2 = 0 -1X + xX + 0 = -8 + -2x + x2 -1X + xX = -8 + -2x + x2 Reorder the terms: 8 + -1X + 2x + xX + -1x2 = -8 + -2x + x2 + 8 + 2x + -1x2 Reorder the terms: 8 + -1X + 2x + xX + -1x2 = -8 + 8 + -2x + 2x + x2 + -1x2 Combine like terms: -8 + 8 = 0 8 + -1X + 2x + xX + -1x2 = 0 + -2x + 2x + x2 + -1x2 8 + -1X + 2x + xX + -1x2 = -2x + 2x + x2 + -1x2 Combine like terms: -2x + 2x = 0 8 + -1X + 2x + xX + -1x2 = 0 + x2 + -1x2 8 + -1X + 2x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + -1X + 2x + xX + -1x2 = 0 The solution to this equation could not be determined.
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