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Simplifying 4y2 + 5y + 2 = 0 Reorder the terms: 2 + 5y + 4y2 = 0 Solving 2 + 5y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.5 + 1.25y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 1.25y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 1.25y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.25y + y2 = 0 + -0.5 1.25y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 1.25y + y2 = -0.5 The y term is 1.25y. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25y + 0.390625 + y2 = -0.5 + 0.390625 Reorder the terms: 0.390625 + 1.25y + y2 = -0.5 + 0.390625 Combine like terms: -0.5 + 0.390625 = -0.109375 0.390625 + 1.25y + y2 = -0.109375 Factor a perfect square on the left side: (y + 0.625)(y + 0.625) = -0.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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