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Simplifying 2y2 + 7y + 39 = 0 Reorder the terms: 39 + 7y + 2y2 = 0 Solving 39 + 7y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 19.5 + 3.5y + y2 = 0 Move the constant term to the right: Add '-19.5' to each side of the equation. 19.5 + 3.5y + -19.5 + y2 = 0 + -19.5 Reorder the terms: 19.5 + -19.5 + 3.5y + y2 = 0 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + 3.5y + y2 = 0 + -19.5 3.5y + y2 = 0 + -19.5 Combine like terms: 0 + -19.5 = -19.5 3.5y + y2 = -19.5 The y term is 3.5y. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5y + 3.0625 + y2 = -19.5 + 3.0625 Reorder the terms: 3.0625 + 3.5y + y2 = -19.5 + 3.0625 Combine like terms: -19.5 + 3.0625 = -16.4375 3.0625 + 3.5y + y2 = -16.4375 Factor a perfect square on the left side: (y + 1.75)(y + 1.75) = -16.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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