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Simplifying 4y2 + 14y + 17 = 0 Reorder the terms: 17 + 14y + 4y2 = 0 Solving 17 + 14y + 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'. 4.25 + 3.5y + y2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + 3.5y + -4.25 + y2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + 3.5y + y2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + 3.5y + y2 = 0 + -4.25 3.5y + y2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 3.5y + y2 = -4.25 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 = -4.25 + 3.0625 Reorder the terms: 3.0625 + 3.5y + y2 = -4.25 + 3.0625 Combine like terms: -4.25 + 3.0625 = -1.1875 3.0625 + 3.5y + y2 = -1.1875 Factor a perfect square on the left side: (y + 1.75)(y + 1.75) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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