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Simplifying 28y2 + 7y + 10 = 0 Reorder the terms: 10 + 7y + 28y2 = 0 Solving 10 + 7y + 28y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.3571428571 + 0.25y + y2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.25y + -0.3571428571 + y2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.25y + y2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.25y + y2 = 0 + -0.3571428571 0.25y + y2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.25y + y2 = -0.3571428571 The y term is 0.25y. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25y + 0.015625 + y2 = -0.3571428571 + 0.015625 Reorder the terms: 0.015625 + 0.25y + y2 = -0.3571428571 + 0.015625 Combine like terms: -0.3571428571 + 0.015625 = -0.3415178571 0.015625 + 0.25y + y2 = -0.3415178571 Factor a perfect square on the left side: (y + 0.125)(y + 0.125) = -0.3415178571 Can't calculate square root of the right side. The solution to this equation could not be determined.
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