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Simplifying 2x2 + 39x + 240 = 0 Reorder the terms: 240 + 39x + 2x2 = 0 Solving 240 + 39x + 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'. 120 + 19.5x + x2 = 0 Move the constant term to the right: Add '-120' to each side of the equation. 120 + 19.5x + -120 + x2 = 0 + -120 Reorder the terms: 120 + -120 + 19.5x + x2 = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 19.5x + x2 = 0 + -120 19.5x + x2 = 0 + -120 Combine like terms: 0 + -120 = -120 19.5x + x2 = -120 The x term is 19.5x. Take half its coefficient (9.75). Square it (95.0625) and add it to both sides. Add '95.0625' to each side of the equation. 19.5x + 95.0625 + x2 = -120 + 95.0625 Reorder the terms: 95.0625 + 19.5x + x2 = -120 + 95.0625 Combine like terms: -120 + 95.0625 = -24.9375 95.0625 + 19.5x + x2 = -24.9375 Factor a perfect square on the left side: (x + 9.75)(x + 9.75) = -24.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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