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Simplifying 16y2 + 5y + 8 = 0 Reorder the terms: 8 + 5y + 16y2 = 0 Solving 8 + 5y + 16y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.5 + 0.3125y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.3125y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.3125y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.3125y + y2 = 0 + -0.5 0.3125y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.3125y + y2 = -0.5 The y term is 0.3125y. Take half its coefficient (0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. 0.3125y + 0.0244140625 + y2 = -0.5 + 0.0244140625 Reorder the terms: 0.0244140625 + 0.3125y + y2 = -0.5 + 0.0244140625 Combine like terms: -0.5 + 0.0244140625 = -0.4755859375 0.0244140625 + 0.3125y + y2 = -0.4755859375 Factor a perfect square on the left side: (y + 0.15625)(y + 0.15625) = -0.4755859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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