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Simplifying 2x2 + 20x + 57 = 0 Reorder the terms: 57 + 20x + 2x2 = 0 Solving 57 + 20x + 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'. 28.5 + 10x + x2 = 0 Move the constant term to the right: Add '-28.5' to each side of the equation. 28.5 + 10x + -28.5 + x2 = 0 + -28.5 Reorder the terms: 28.5 + -28.5 + 10x + x2 = 0 + -28.5 Combine like terms: 28.5 + -28.5 = 0.0 0.0 + 10x + x2 = 0 + -28.5 10x + x2 = 0 + -28.5 Combine like terms: 0 + -28.5 = -28.5 10x + x2 = -28.5 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -28.5 + 25 Reorder the terms: 25 + 10x + x2 = -28.5 + 25 Combine like terms: -28.5 + 25 = -3.5 25 + 10x + x2 = -3.5 Factor a perfect square on the left side: (x + 5)(x + 5) = -3.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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