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Simplifying x2 + 11x + 20 = -20 Reorder the terms: 20 + 11x + x2 = -20 Solving 20 + 11x + x2 = -20 Solving for variable 'x'. Reorder the terms: 20 + 20 + 11x + x2 = -20 + 20 Combine like terms: 20 + 20 = 40 40 + 11x + x2 = -20 + 20 Combine like terms: -20 + 20 = 0 40 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 11x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + 11x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 11x + x2 = 0 + -40 11x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 11x + x2 = -40 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 = -40 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -40 + 30.25 Combine like terms: -40 + 30.25 = -9.75 30.25 + 11x + x2 = -9.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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