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Simplifying x2 + -8 + 22 = 2x + 1 Reorder the terms: -8 + 22 + x2 = 2x + 1 Combine like terms: -8 + 22 = 14 14 + x2 = 2x + 1 Reorder the terms: 14 + x2 = 1 + 2x Solving 14 + x2 = 1 + 2x Solving for variable 'x'. Reorder the terms: 14 + -1 + -2x + x2 = 1 + 2x + -1 + -2x Combine like terms: 14 + -1 = 13 13 + -2x + x2 = 1 + 2x + -1 + -2x Reorder the terms: 13 + -2x + x2 = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 13 + -2x + x2 = 0 + 2x + -2x 13 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 13 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -2x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -2x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2x + x2 = 0 + -13 -2x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -2x + x2 = -13 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 = -13 + 1 Reorder the terms: 1 + -2x + x2 = -13 + 1 Combine like terms: -13 + 1 = -12 1 + -2x + x2 = -12 Factor a perfect square on the left side: (x + -1)(x + -1) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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