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Simplifying 11x2 = -5x + -1 Reorder the terms: 11x2 = -1 + -5x Solving 11x2 = -1 + -5x Solving for variable 'x'. Reorder the terms: 1 + 5x + 11x2 = -1 + -5x + 1 + 5x Reorder the terms: 1 + 5x + 11x2 = -1 + 1 + -5x + 5x Combine like terms: -1 + 1 = 0 1 + 5x + 11x2 = 0 + -5x + 5x 1 + 5x + 11x2 = -5x + 5x Combine like terms: -5x + 5x = 0 1 + 5x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.09090909091 + 0.4545454545x + x2 = 0 Move the constant term to the right: Add '-0.09090909091' to each side of the equation. 0.09090909091 + 0.4545454545x + -0.09090909091 + x2 = 0 + -0.09090909091 Reorder the terms: 0.09090909091 + -0.09090909091 + 0.4545454545x + x2 = 0 + -0.09090909091 Combine like terms: 0.09090909091 + -0.09090909091 = 0.00000000000 0.00000000000 + 0.4545454545x + x2 = 0 + -0.09090909091 0.4545454545x + x2 = 0 + -0.09090909091 Combine like terms: 0 + -0.09090909091 = -0.09090909091 0.4545454545x + x2 = -0.09090909091 The x term is 0.4545454545x. Take half its coefficient (0.2272727273). Square it (0.05165289257) and add it to both sides. Add '0.05165289257' to each side of the equation. 0.4545454545x + 0.05165289257 + x2 = -0.09090909091 + 0.05165289257 Reorder the terms: 0.05165289257 + 0.4545454545x + x2 = -0.09090909091 + 0.05165289257 Combine like terms: -0.09090909091 + 0.05165289257 = -0.03925619834 0.05165289257 + 0.4545454545x + x2 = -0.03925619834 Factor a perfect square on the left side: (x + 0.2272727273)(x + 0.2272727273) = -0.03925619834 Can't calculate square root of the right side. The solution to this equation could not be determined.
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