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Simplifying (2 + -1x)(2 + -1x) = -1 Multiply (2 + -1x) * (2 + -1x) (2(2 + -1x) + -1x * (2 + -1x)) = -1 ((2 * 2 + -1x * 2) + -1x * (2 + -1x)) = -1 ((4 + -2x) + -1x * (2 + -1x)) = -1 (4 + -2x + (2 * -1x + -1x * -1x)) = -1 (4 + -2x + (-2x + 1x2)) = -1 Combine like terms: -2x + -2x = -4x (4 + -4x + 1x2) = -1 Solving 4 + -4x + 1x2 = -1 Solving for variable 'x'. Reorder the terms: 4 + 1 + -4x + 1x2 = -1 + 1 Combine like terms: 4 + 1 = 5 5 + -4x + 1x2 = -1 + 1 Combine like terms: -1 + 1 = 0 5 + -4x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + x2 = 0 + -5 -4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x + x2 = -5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -5 + 4 Reorder the terms: 4 + -4x + x2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + -4x + x2 = -1 Factor a perfect square on the left side: (x + -2)(x + -2) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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