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Simplifying x2 + x + 6 = -1 Reorder the terms: 6 + x + x2 = -1 Solving 6 + x + x2 = -1 Solving for variable 'x'. Reorder the terms: 6 + 1 + x + x2 = -1 + 1 Combine like terms: 6 + 1 = 7 7 + x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 7 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x + x2 = 0 + -7 x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x + x2 = -7 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -7 + 0.25 Reorder the terms: 0.25 + x + x2 = -7 + 0.25 Combine like terms: -7 + 0.25 = -6.75 0.25 + x + x2 = -6.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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