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Simplifying x2 + -2x + -6 = -34 Reorder the terms: -6 + -2x + x2 = -34 Solving -6 + -2x + x2 = -34 Solving for variable 'x'. Reorder the terms: -6 + 34 + -2x + x2 = -34 + 34 Combine like terms: -6 + 34 = 28 28 + -2x + x2 = -34 + 34 Combine like terms: -34 + 34 = 0 28 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -2x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -2x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -2x + x2 = 0 + -28 -2x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -2x + x2 = -28 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 = -28 + 1 Reorder the terms: 1 + -2x + x2 = -28 + 1 Combine like terms: -28 + 1 = -27 1 + -2x + x2 = -27 Factor a perfect square on the left side: (x + -1)(x + -1) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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