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Simplifying x2 + 12x + 107 = -8 Reorder the terms: 107 + 12x + x2 = -8 Solving 107 + 12x + x2 = -8 Solving for variable 'x'. Reorder the terms: 107 + 8 + 12x + x2 = -8 + 8 Combine like terms: 107 + 8 = 115 115 + 12x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 115 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-115' to each side of the equation. 115 + 12x + -115 + x2 = 0 + -115 Reorder the terms: 115 + -115 + 12x + x2 = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 12x + x2 = 0 + -115 12x + x2 = 0 + -115 Combine like terms: 0 + -115 = -115 12x + x2 = -115 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -115 + 36 Reorder the terms: 36 + 12x + x2 = -115 + 36 Combine like terms: -115 + 36 = -79 36 + 12x + x2 = -79 Factor a perfect square on the left side: (x + 6)(x + 6) = -79 Can't calculate square root of the right side. The solution to this equation could not be determined.
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