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Simplifying x2 + 11x + 31 = 0 Reorder the terms: 31 + 11x + x2 = 0 Solving 31 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + 11x + -31 + x2 = 0 + -31 Reorder the terms: 31 + -31 + 11x + x2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 11x + x2 = 0 + -31 11x + x2 = 0 + -31 Combine like terms: 0 + -31 = -31 11x + x2 = -31 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -31 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -31 + 30.25 Combine like terms: -31 + 30.25 = -0.75 30.25 + 11x + x2 = -0.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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