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Simplifying 2x2 + 22x + 85 = 0 Reorder the terms: 85 + 22x + 2x2 = 0 Solving 85 + 22x + 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'. 42.5 + 11x + x2 = 0 Move the constant term to the right: Add '-42.5' to each side of the equation. 42.5 + 11x + -42.5 + x2 = 0 + -42.5 Reorder the terms: 42.5 + -42.5 + 11x + x2 = 0 + -42.5 Combine like terms: 42.5 + -42.5 = 0.0 0.0 + 11x + x2 = 0 + -42.5 11x + x2 = 0 + -42.5 Combine like terms: 0 + -42.5 = -42.5 11x + x2 = -42.5 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 = -42.5 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -42.5 + 30.25 Combine like terms: -42.5 + 30.25 = -12.25 30.25 + 11x + x2 = -12.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -12.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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