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Simplifying 2x2 + -11x + 16 = 0 Reorder the terms: 16 + -11x + 2x2 = 0 Solving 16 + -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'. 8 + -5.5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -5.5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.5x + x2 = 0 + -8 -5.5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.5x + x2 = -8 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 = -8 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -8 + 7.5625 Combine like terms: -8 + 7.5625 = -0.4375 7.5625 + -5.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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