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Simplifying x2 + 11x + 121 = 0 Reorder the terms: 121 + 11x + x2 = 0 Solving 121 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-121' to each side of the equation. 121 + 11x + -121 + x2 = 0 + -121 Reorder the terms: 121 + -121 + 11x + x2 = 0 + -121 Combine like terms: 121 + -121 = 0 0 + 11x + x2 = 0 + -121 11x + x2 = 0 + -121 Combine like terms: 0 + -121 = -121 11x + x2 = -121 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 = -121 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -121 + 30.25 Combine like terms: -121 + 30.25 = -90.75 30.25 + 11x + x2 = -90.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -90.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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