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Simplifying 2x2 + 35x + 176 = 0 Reorder the terms: 176 + 35x + 2x2 = 0 Solving 176 + 35x + 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'. 88 + 17.5x + x2 = 0 Move the constant term to the right: Add '-88' to each side of the equation. 88 + 17.5x + -88 + x2 = 0 + -88 Reorder the terms: 88 + -88 + 17.5x + x2 = 0 + -88 Combine like terms: 88 + -88 = 0 0 + 17.5x + x2 = 0 + -88 17.5x + x2 = 0 + -88 Combine like terms: 0 + -88 = -88 17.5x + x2 = -88 The x term is 17.5x. Take half its coefficient (8.75). Square it (76.5625) and add it to both sides. Add '76.5625' to each side of the equation. 17.5x + 76.5625 + x2 = -88 + 76.5625 Reorder the terms: 76.5625 + 17.5x + x2 = -88 + 76.5625 Combine like terms: -88 + 76.5625 = -11.4375 76.5625 + 17.5x + x2 = -11.4375 Factor a perfect square on the left side: (x + 8.75)(x + 8.75) = -11.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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