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Simplifying x2 + 2x + 107 = -8 Reorder the terms: 107 + 2x + x2 = -8 Solving 107 + 2x + x2 = -8 Solving for variable 'x'. Reorder the terms: 107 + 8 + 2x + x2 = -8 + 8 Combine like terms: 107 + 8 = 115 115 + 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 115 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-115' to each side of the equation. 115 + 2x + -115 + x2 = 0 + -115 Reorder the terms: 115 + -115 + 2x + x2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 2x + x2 = 0 + -115 2x + x2 = 0 + -115 Combine like terms: 0 + -115 = -115 2x + x2 = -115 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 = -115 + 1 Reorder the terms: 1 + 2x + x2 = -115 + 1 Combine like terms: -115 + 1 = -114 1 + 2x + x2 = -114 Factor a perfect square on the left side: (x + 1)(x + 1) = -114 Can't calculate square root of the right side. The solution to this equation could not be determined.
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