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Simplifying x2 + 22x + 122 = 0 Reorder the terms: 122 + 22x + x2 = 0 Solving 122 + 22x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-122' to each side of the equation. 122 + 22x + -122 + x2 = 0 + -122 Reorder the terms: 122 + -122 + 22x + x2 = 0 + -122 Combine like terms: 122 + -122 = 0 0 + 22x + x2 = 0 + -122 22x + x2 = 0 + -122 Combine like terms: 0 + -122 = -122 22x + x2 = -122 The x term is 22x. Take half its coefficient (11). Square it (121) and add it to both sides. Add '121' to each side of the equation. 22x + 121 + x2 = -122 + 121 Reorder the terms: 121 + 22x + x2 = -122 + 121 Combine like terms: -122 + 121 = -1 121 + 22x + x2 = -1 Factor a perfect square on the left side: (x + 11)(x + 11) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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