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Simplifying 80y2 + -252y + 253 = 0 Reorder the terms: 253 + -252y + 80y2 = 0 Solving 253 + -252y + 80y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 80 the coefficient of the squared term: Divide each side by '80'. 3.1625 + -3.15y + y2 = 0 Move the constant term to the right: Add '-3.1625' to each side of the equation. 3.1625 + -3.15y + -3.1625 + y2 = 0 + -3.1625 Reorder the terms: 3.1625 + -3.1625 + -3.15y + y2 = 0 + -3.1625 Combine like terms: 3.1625 + -3.1625 = 0.0000 0.0000 + -3.15y + y2 = 0 + -3.1625 -3.15y + y2 = 0 + -3.1625 Combine like terms: 0 + -3.1625 = -3.1625 -3.15y + y2 = -3.1625 The y term is -3.15y. Take half its coefficient (-1.575). Square it (2.480625) and add it to both sides. Add '2.480625' to each side of the equation. -3.15y + 2.480625 + y2 = -3.1625 + 2.480625 Reorder the terms: 2.480625 + -3.15y + y2 = -3.1625 + 2.480625 Combine like terms: -3.1625 + 2.480625 = -0.681875 2.480625 + -3.15y + y2 = -0.681875 Factor a perfect square on the left side: (y + -1.575)(y + -1.575) = -0.681875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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