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Simplifying 7y2 + -8y + 3 = 0 Reorder the terms: 3 + -8y + 7y2 = 0 Solving 3 + -8y + 7y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + -1.142857143y + y2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -1.142857143y + -0.4285714286 + y2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -1.142857143y + y2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -1.142857143y + y2 = 0 + -0.4285714286 -1.142857143y + y2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -1.142857143y + y2 = -0.4285714286 The y term is -1.142857143y. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143y + 0.3265306123 + y2 = -0.4285714286 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143y + y2 = -0.4285714286 + 0.3265306123 Combine like terms: -0.4285714286 + 0.3265306123 = -0.1020408163 0.3265306123 + -1.142857143y + y2 = -0.1020408163 Factor a perfect square on the left side: (y + -0.5714285715)(y + -0.5714285715) = -0.1020408163 Can't calculate square root of the right side. The solution to this equation could not be determined.
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