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Simplifying (2x2) + 11x + 20 = 0 Reorder the terms: 20 + 11x + (2x2) = 0 Solving 20 + 11x + (2x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 10 + 5.5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 5.5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 5.5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5.5x + x2 = 0 + -10 5.5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 5.5x + x2 = -10 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -10 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -10 + 7.5625 Combine like terms: -10 + 7.5625 = -2.4375 7.5625 + 5.5x + x2 = -2.4375 Factor a perfect square on the left side: ((x) + 2.75)((x) + 2.75) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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