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Simplifying -9x2 + x + -11 = 0 Reorder the terms: -11 + x + -9x2 = 0 Solving -11 + x + -9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 1.222222222 + -0.1111111111x + x2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -0.1111111111x + -1.222222222 + x2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -0.1111111111x + x2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -0.1111111111x + x2 = 0 + -1.222222222 -0.1111111111x + x2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -0.1111111111x + x2 = -1.222222222 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.1111111111x + 0.25 + x2 = -1.222222222 + 0.25 Reorder the terms: 0.25 + -0.1111111111x + x2 = -1.222222222 + 0.25 Combine like terms: -1.222222222 + 0.25 = -0.972222222 0.25 + -0.1111111111x + x2 = -0.972222222 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.972222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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