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Simplifying -1(-1x2 + -2x + 1) + 4 = 0 Reorder the terms: -1(1 + -2x + -1x2) + 4 = 0 (1 * -1 + -2x * -1 + -1x2 * -1) + 4 = 0 (-1 + 2x + 1x2) + 4 = 0 Reorder the terms: -1 + 4 + 2x + 1x2 = 0 Combine like terms: -1 + 4 = 3 3 + 2x + 1x2 = 0 Solving 3 + 2x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 2x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x + x2 = 0 + -3 2x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x + x2 = -3 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -3 + 1 Reorder the terms: 1 + 2x + x2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + 2x + x2 = -2 Factor a perfect square on the left side: (x + 1)(x + 1) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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