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Simplifying 17x2 + -52x + 308.6 = 0 Reorder the terms: 308.6 + -52x + 17x2 = 0 Solving 308.6 + -52x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 18.15294118 + -3.058823529x + x2 = 0 Move the constant term to the right: Add '-18.15294118' to each side of the equation. 18.15294118 + -3.058823529x + -18.15294118 + x2 = 0 + -18.15294118 Reorder the terms: 18.15294118 + -18.15294118 + -3.058823529x + x2 = 0 + -18.15294118 Combine like terms: 18.15294118 + -18.15294118 = 0.00000000 0.00000000 + -3.058823529x + x2 = 0 + -18.15294118 -3.058823529x + x2 = 0 + -18.15294118 Combine like terms: 0 + -18.15294118 = -18.15294118 -3.058823529x + x2 = -18.15294118 The x term is -3.058823529x. Take half its coefficient (-1.529411765). Square it (2.339100347) and add it to both sides. Add '2.339100347' to each side of the equation. -3.058823529x + 2.339100347 + x2 = -18.15294118 + 2.339100347 Reorder the terms: 2.339100347 + -3.058823529x + x2 = -18.15294118 + 2.339100347 Combine like terms: -18.15294118 + 2.339100347 = -15.813840833 2.339100347 + -3.058823529x + x2 = -15.813840833 Factor a perfect square on the left side: (x + -1.529411765)(x + -1.529411765) = -15.813840833 Can't calculate square root of the right side. The solution to this equation could not be determined.
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