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Simplifying 28y2 + 7y + 8 = 0 Reorder the terms: 8 + 7y + 28y2 = 0 Solving 8 + 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'. 0.2857142857 + 0.25y + y2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + 0.25y + -0.2857142857 + y2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + 0.25y + y2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + 0.25y + y2 = 0 + -0.2857142857 0.25y + y2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 0.25y + y2 = -0.2857142857 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 = -0.2857142857 + 0.015625 Reorder the terms: 0.015625 + 0.25y + y2 = -0.2857142857 + 0.015625 Combine like terms: -0.2857142857 + 0.015625 = -0.2700892857 0.015625 + 0.25y + y2 = -0.2700892857 Factor a perfect square on the left side: (y + 0.125)(y + 0.125) = -0.2700892857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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