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Simplifying 11x2 + -12x + 27 = 0 Reorder the terms: 27 + -12x + 11x2 = 0 Solving 27 + -12x + 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'. 2.454545455 + -1.090909091x + x2 = 0 Move the constant term to the right: Add '-2.454545455' to each side of the equation. 2.454545455 + -1.090909091x + -2.454545455 + x2 = 0 + -2.454545455 Reorder the terms: 2.454545455 + -2.454545455 + -1.090909091x + x2 = 0 + -2.454545455 Combine like terms: 2.454545455 + -2.454545455 = 0.000000000 0.000000000 + -1.090909091x + x2 = 0 + -2.454545455 -1.090909091x + x2 = 0 + -2.454545455 Combine like terms: 0 + -2.454545455 = -2.454545455 -1.090909091x + x2 = -2.454545455 The x term is -1.090909091x. Take half its coefficient (-0.5454545455). Square it (0.2975206612) and add it to both sides. Add '0.2975206612' to each side of the equation. -1.090909091x + 0.2975206612 + x2 = -2.454545455 + 0.2975206612 Reorder the terms: 0.2975206612 + -1.090909091x + x2 = -2.454545455 + 0.2975206612 Combine like terms: -2.454545455 + 0.2975206612 = -2.1570247938 0.2975206612 + -1.090909091x + x2 = -2.1570247938 Factor a perfect square on the left side: (x + -0.5454545455)(x + -0.5454545455) = -2.1570247938 Can't calculate square root of the right side. The solution to this equation could not be determined.
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