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Simplifying x2 = (x + -1)(x + 1) + x Reorder the terms: x2 = (-1 + x)(x + 1) + x Reorder the terms: x2 = (-1 + x)(1 + x) + x Multiply (-1 + x) * (1 + x) x2 = (-1(1 + x) + x(1 + x)) + x x2 = ((1 * -1 + x * -1) + x(1 + x)) + x x2 = ((-1 + -1x) + x(1 + x)) + x x2 = (-1 + -1x + (1 * x + x * x)) + x x2 = (-1 + -1x + (1x + x2)) + x Combine like terms: -1x + 1x = 0 x2 = (-1 + 0 + x2) + x x2 = (-1 + x2) + x Reorder the terms: x2 = -1 + x + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = -1 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -1 + x + 0 0 = -1 + x Solving 0 = -1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = -1 + x + -1x Remove the zero: -1x = -1 + x + -1x Combine like terms: x + -1x = 0 -1x = -1 + 0 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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