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Simplifying 9x2 + -5x + 11 = 0 Reorder the terms: 11 + -5x + 9x2 = 0 Solving 11 + -5x + 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 + -0.5555555556x + x2 = 0 Move the constant term to the right: Add '-1.222222222' to each side of the equation. 1.222222222 + -0.5555555556x + -1.222222222 + x2 = 0 + -1.222222222 Reorder the terms: 1.222222222 + -1.222222222 + -0.5555555556x + x2 = 0 + -1.222222222 Combine like terms: 1.222222222 + -1.222222222 = 0.000000000 0.000000000 + -0.5555555556x + x2 = 0 + -1.222222222 -0.5555555556x + x2 = 0 + -1.222222222 Combine like terms: 0 + -1.222222222 = -1.222222222 -0.5555555556x + x2 = -1.222222222 The x term is -0.5555555556x. Take half its coefficient (-0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. -0.5555555556x + 0.07716049384 + x2 = -1.222222222 + 0.07716049384 Reorder the terms: 0.07716049384 + -0.5555555556x + x2 = -1.222222222 + 0.07716049384 Combine like terms: -1.222222222 + 0.07716049384 = -1.14506172816 0.07716049384 + -0.5555555556x + x2 = -1.14506172816 Factor a perfect square on the left side: (x + -0.2777777778)(x + -0.2777777778) = -1.14506172816 Can't calculate square root of the right side. The solution to this equation could not be determined.
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