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Simplifying 11x2 + -5x + 14 = 8 + 7x Reorder the terms: 14 + -5x + 11x2 = 8 + 7x Solving 14 + -5x + 11x2 = 8 + 7x Solving for variable 'x'. Reorder the terms: 14 + -8 + -5x + -7x + 11x2 = 8 + 7x + -8 + -7x Combine like terms: 14 + -8 = 6 6 + -5x + -7x + 11x2 = 8 + 7x + -8 + -7x Combine like terms: -5x + -7x = -12x 6 + -12x + 11x2 = 8 + 7x + -8 + -7x Reorder the terms: 6 + -12x + 11x2 = 8 + -8 + 7x + -7x Combine like terms: 8 + -8 = 0 6 + -12x + 11x2 = 0 + 7x + -7x 6 + -12x + 11x2 = 7x + -7x Combine like terms: 7x + -7x = 0 6 + -12x + 11x2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.5454545455 + -1.090909091x + x2 = 0 Move the constant term to the right: Add '-0.5454545455' to each side of the equation. 0.5454545455 + -1.090909091x + -0.5454545455 + x2 = 0 + -0.5454545455 Reorder the terms: 0.5454545455 + -0.5454545455 + -1.090909091x + x2 = 0 + -0.5454545455 Combine like terms: 0.5454545455 + -0.5454545455 = 0.0000000000 0.0000000000 + -1.090909091x + x2 = 0 + -0.5454545455 -1.090909091x + x2 = 0 + -0.5454545455 Combine like terms: 0 + -0.5454545455 = -0.5454545455 -1.090909091x + x2 = -0.5454545455 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 = -0.5454545455 + 0.2975206612 Reorder the terms: 0.2975206612 + -1.090909091x + x2 = -0.5454545455 + 0.2975206612 Combine like terms: -0.5454545455 + 0.2975206612 = -0.2479338843 0.2975206612 + -1.090909091x + x2 = -0.2479338843 Factor a perfect square on the left side: (x + -0.5454545455)(x + -0.5454545455) = -0.2479338843 Can't calculate square root of the right side. The solution to this equation could not be determined.
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