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Simplifying x2 + -2x + 1 = -28 Reorder the terms: 1 + -2x + x2 = -28 Solving 1 + -2x + x2 = -28 Solving for variable 'x'. Reorder the terms: 1 + 28 + -2x + x2 = -28 + 28 Combine like terms: 1 + 28 = 29 29 + -2x + x2 = -28 + 28 Combine like terms: -28 + 28 = 0 29 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -2x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -2x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -2x + x2 = 0 + -29 -2x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -2x + x2 = -29 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 = -29 + 1 Reorder the terms: 1 + -2x + x2 = -29 + 1 Combine like terms: -29 + 1 = -28 1 + -2x + x2 = -28 Factor a perfect square on the left side: (x + -1)(x + -1) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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