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Simplifying 9x2 + 5x = -11 Reorder the terms: 5x + 9x2 = -11 Solving 5x + 9x2 = -11 Solving for variable 'x'. Reorder the terms: 11 + 5x + 9x2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 5x + 9x2 = 0 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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