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Simplifying 49 + 25y + 8y2 = 0 Solving 49 + 25y + 8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 6.125 + 3.125y + y2 = 0 Move the constant term to the right: Add '-6.125' to each side of the equation. 6.125 + 3.125y + -6.125 + y2 = 0 + -6.125 Reorder the terms: 6.125 + -6.125 + 3.125y + y2 = 0 + -6.125 Combine like terms: 6.125 + -6.125 = 0.000 0.000 + 3.125y + y2 = 0 + -6.125 3.125y + y2 = 0 + -6.125 Combine like terms: 0 + -6.125 = -6.125 3.125y + y2 = -6.125 The y term is 3.125y. Take half its coefficient (1.5625). Square it (2.44140625) and add it to both sides. Add '2.44140625' to each side of the equation. 3.125y + 2.44140625 + y2 = -6.125 + 2.44140625 Reorder the terms: 2.44140625 + 3.125y + y2 = -6.125 + 2.44140625 Combine like terms: -6.125 + 2.44140625 = -3.68359375 2.44140625 + 3.125y + y2 = -3.68359375 Factor a perfect square on the left side: (y + 1.5625)(y + 1.5625) = -3.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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