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Simplifying 11x2 + -40x + 165 = 0 Reorder the terms: 165 + -40x + 11x2 = 0 Solving 165 + -40x + 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'. 15 + -3.636363636x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -3.636363636x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -3.636363636x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3.636363636x + x2 = 0 + -15 -3.636363636x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -3.636363636x + x2 = -15 The x term is -3.636363636x. Take half its coefficient (-1.818181818). Square it (3.305785123) and add it to both sides. Add '3.305785123' to each side of the equation. -3.636363636x + 3.305785123 + x2 = -15 + 3.305785123 Reorder the terms: 3.305785123 + -3.636363636x + x2 = -15 + 3.305785123 Combine like terms: -15 + 3.305785123 = -11.694214877 3.305785123 + -3.636363636x + x2 = -11.694214877 Factor a perfect square on the left side: (x + -1.818181818)(x + -1.818181818) = -11.694214877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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