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Simplifying x + -1([29 + -2x](76x + -45)) = 3x + -49273738 Reorder the terms: x + -1([29 + -2x](-45 + 76x)) = 3x + -49273738 Multiply [29 + -2x] * (-45 + 76x) x + -1([29(-45 + 76x) + -2x * (-45 + 76x)]) = 3x + -49273738 x + -1([(-45 * 29 + 76x * 29) + -2x * (-45 + 76x)]) = 3x + -49273738 x + -1([(-1305 + 2204x) + -2x * (-45 + 76x)]) = 3x + -49273738 x + -1([-1305 + 2204x + (-45 * -2x + 76x * -2x)]) = 3x + -49273738 x + -1([-1305 + 2204x + (90x + -152x2)]) = 3x + -49273738 Combine like terms: 2204x + 90x = 2294x x + -1([-1305 + 2294x + -152x2]) = 3x + -49273738 x + (-1305 * -1 + 2294x * -1 + -152x2 * -1) = 3x + -49273738 x + (1305 + -2294x + 152x2) = 3x + -49273738 Reorder the terms: 1305 + x + -2294x + 152x2 = 3x + -49273738 Combine like terms: x + -2294x = -2293x 1305 + -2293x + 152x2 = 3x + -49273738 Reorder the terms: 1305 + -2293x + 152x2 = -49273738 + 3x Solving 1305 + -2293x + 152x2 = -49273738 + 3x Solving for variable 'x'. Reorder the terms: 1305 + 49273738 + -2293x + -3x + 152x2 = -49273738 + 3x + 49273738 + -3x Combine like terms: 1305 + 49273738 = 49275043 49275043 + -2293x + -3x + 152x2 = -49273738 + 3x + 49273738 + -3x Combine like terms: -2293x + -3x = -2296x 49275043 + -2296x + 152x2 = -49273738 + 3x + 49273738 + -3x Reorder the terms: 49275043 + -2296x + 152x2 = -49273738 + 49273738 + 3x + -3x Combine like terms: -49273738 + 49273738 = 0 49275043 + -2296x + 152x2 = 0 + 3x + -3x 49275043 + -2296x + 152x2 = 3x + -3x Combine like terms: 3x + -3x = 0 49275043 + -2296x + 152x2 = 0 Begin completing the square. Divide all terms by 152 the coefficient of the squared term: Divide each side by '152'. 324177.9145 + -15.10526316x + x2 = 0 Move the constant term to the right: Add '-324177.9145' to each side of the equation. 324177.9145 + -15.10526316x + -324177.9145 + x2 = 0 + -324177.9145 Reorder the terms: 324177.9145 + -324177.9145 + -15.10526316x + x2 = 0 + -324177.9145 Combine like terms: 324177.9145 + -324177.9145 = 0.0000 0.0000 + -15.10526316x + x2 = 0 + -324177.9145 -15.10526316x + x2 = 0 + -324177.9145 Combine like terms: 0 + -324177.9145 = -324177.9145 -15.10526316x + x2 = -324177.9145 The x term is -15.10526316x. Take half its coefficient (-7.55263158). Square it (57.04224378) and add it to both sides. Add '57.04224378' to each side of the equation. -15.10526316x + 57.04224378 + x2 = -324177.9145 + 57.04224378 Reorder the terms: 57.04224378 + -15.10526316x + x2 = -324177.9145 + 57.04224378 Combine like terms: -324177.9145 + 57.04224378 = -324120.87225622 57.04224378 + -15.10526316x + x2 = -324120.87225622 Factor a perfect square on the left side: (x + -7.55263158)(x + -7.55263158) = -324120.87225622 Can't calculate square root of the right side. The solution to this equation could not be determined.
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