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