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Simplifying -2x2 + 11x = 29 Reorder the terms: 11x + -2x2 = 29 Solving 11x + -2x2 = 29 Solving for variable 'x'. Reorder the terms: -29 + 11x + -2x2 = 29 + -29 Combine like terms: 29 + -29 = 0 -29 + 11x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 14.5 + -5.5x + x2 = 0 Move the constant term to the right: Add '-14.5' to each side of the equation. 14.5 + -5.5x + -14.5 + x2 = 0 + -14.5 Reorder the terms: 14.5 + -14.5 + -5.5x + x2 = 0 + -14.5 Combine like terms: 14.5 + -14.5 = 0.0 0.0 + -5.5x + x2 = 0 + -14.5 -5.5x + x2 = 0 + -14.5 Combine like terms: 0 + -14.5 = -14.5 -5.5x + x2 = -14.5 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 = -14.5 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -14.5 + 7.5625 Combine like terms: -14.5 + 7.5625 = -6.9375 7.5625 + -5.5x + x2 = -6.9375 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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