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Simplifying 8x(11x + -1) = (7x + -1) Reorder the terms: 8x(-1 + 11x) = (7x + -1) (-1 * 8x + 11x * 8x) = (7x + -1) (-8x + 88x2) = (7x + -1) Reorder the terms: -8x + 88x2 = (-1 + 7x) Remove parenthesis around (-1 + 7x) -8x + 88x2 = -1 + 7x Solving -8x + 88x2 = -1 + 7x Solving for variable 'x'. Reorder the terms: 1 + -8x + -7x + 88x2 = -1 + 7x + 1 + -7x Combine like terms: -8x + -7x = -15x 1 + -15x + 88x2 = -1 + 7x + 1 + -7x Reorder the terms: 1 + -15x + 88x2 = -1 + 1 + 7x + -7x Combine like terms: -1 + 1 = 0 1 + -15x + 88x2 = 0 + 7x + -7x 1 + -15x + 88x2 = 7x + -7x Combine like terms: 7x + -7x = 0 1 + -15x + 88x2 = 0 Begin completing the square. Divide all terms by 88 the coefficient of the squared term: Divide each side by '88'. 0.01136363636 + -0.1704545455x + x2 = 0 Move the constant term to the right: Add '-0.01136363636' to each side of the equation. 0.01136363636 + -0.1704545455x + -0.01136363636 + x2 = 0 + -0.01136363636 Reorder the terms: 0.01136363636 + -0.01136363636 + -0.1704545455x + x2 = 0 + -0.01136363636 Combine like terms: 0.01136363636 + -0.01136363636 = 0.00000000000 0.00000000000 + -0.1704545455x + x2 = 0 + -0.01136363636 -0.1704545455x + x2 = 0 + -0.01136363636 Combine like terms: 0 + -0.01136363636 = -0.01136363636 -0.1704545455x + x2 = -0.01136363636 The x term is -0.1704545455x. Take half its coefficient (-0.08522727275). Square it (0.007263688020) and add it to both sides. Add '0.007263688020' to each side of the equation. -0.1704545455x + 0.007263688020 + x2 = -0.01136363636 + 0.007263688020 Reorder the terms: 0.007263688020 + -0.1704545455x + x2 = -0.01136363636 + 0.007263688020 Combine like terms: -0.01136363636 + 0.007263688020 = -0.00409994834 0.007263688020 + -0.1704545455x + x2 = -0.00409994834 Factor a perfect square on the left side: (x + -0.08522727275)(x + -0.08522727275) = -0.00409994834 Can't calculate square root of the right side. The solution to this equation could not be determined.
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