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Simplifying 11x2 + 6x = -11 Reorder the terms: 6x + 11x2 = -11 Solving 6x + 11x2 = -11 Solving for variable 'x'. Reorder the terms: 11 + 6x + 11x2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 6x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + 0.5454545455x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.5454545455x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.5454545455x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5454545455x + x2 = 0 + -1 0.5454545455x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.5454545455x + x2 = -1 The x term is 0.5454545455x. Take half its coefficient (0.2727272728). Square it (0.07438016533) and add it to both sides. Add '0.07438016533' to each side of the equation. 0.5454545455x + 0.07438016533 + x2 = -1 + 0.07438016533 Reorder the terms: 0.07438016533 + 0.5454545455x + x2 = -1 + 0.07438016533 Combine like terms: -1 + 0.07438016533 = -0.92561983467 0.07438016533 + 0.5454545455x + x2 = -0.92561983467 Factor a perfect square on the left side: (x + 0.2727272728)(x + 0.2727272728) = -0.92561983467 Can't calculate square root of the right side. The solution to this equation could not be determined.
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