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Simplifying 11x2 + 101x + 268 = 0 Reorder the terms: 268 + 101x + 11x2 = 0 Solving 268 + 101x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 24.36363636 + 9.181818182x + x2 = 0 Move the constant term to the right: Add '-24.36363636' to each side of the equation. 24.36363636 + 9.181818182x + -24.36363636 + x2 = 0 + -24.36363636 Reorder the terms: 24.36363636 + -24.36363636 + 9.181818182x + x2 = 0 + -24.36363636 Combine like terms: 24.36363636 + -24.36363636 = 0.00000000 0.00000000 + 9.181818182x + x2 = 0 + -24.36363636 9.181818182x + x2 = 0 + -24.36363636 Combine like terms: 0 + -24.36363636 = -24.36363636 9.181818182x + x2 = -24.36363636 The x term is 9.181818182x. Take half its coefficient (4.590909091). Square it (21.07644628) and add it to both sides. Add '21.07644628' to each side of the equation. 9.181818182x + 21.07644628 + x2 = -24.36363636 + 21.07644628 Reorder the terms: 21.07644628 + 9.181818182x + x2 = -24.36363636 + 21.07644628 Combine like terms: -24.36363636 + 21.07644628 = -3.28719008 21.07644628 + 9.181818182x + x2 = -3.28719008 Factor a perfect square on the left side: (x + 4.590909091)(x + 4.590909091) = -3.28719008 Can't calculate square root of the right side. The solution to this equation could not be determined.
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