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Simplifying x(x + -2) = 1 + -2x Reorder the terms: x(-2 + x) = 1 + -2x (-2 * x + x * x) = 1 + -2x (-2x + x2) = 1 + -2x Add '2x' to each side of the equation. -2x + 2x + x2 = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 0 + x2 = 1 + -2x + 2x x2 = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 x2 = 1 + 0 x2 = 1 Solving x2 = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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