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Simplifying 2y + -1(2.33 + 1.33y)(2.33 + 1.33y) = 0 Multiply (2.33 + 1.33y) * (2.33 + 1.33y) 2y + -1(2.33(2.33 + 1.33y) + 1.33y * (2.33 + 1.33y)) = 0 2y + -1((2.33 * 2.33 + 1.33y * 2.33) + 1.33y * (2.33 + 1.33y)) = 0 2y + -1((5.4289 + 3.0989y) + 1.33y * (2.33 + 1.33y)) = 0 2y + -1(5.4289 + 3.0989y + (2.33 * 1.33y + 1.33y * 1.33y)) = 0 2y + -1(5.4289 + 3.0989y + (3.0989y + 1.7689y2)) = 0 Combine like terms: 3.0989y + 3.0989y = 6.1978y 2y + -1(5.4289 + 6.1978y + 1.7689y2) = 0 2y + (5.4289 * -1 + 6.1978y * -1 + 1.7689y2 * -1) = 0 2y + (-5.4289 + -6.1978y + -1.7689y2) = 0 Reorder the terms: -5.4289 + 2y + -6.1978y + -1.7689y2 = 0 Combine like terms: 2y + -6.1978y = -4.1978y -5.4289 + -4.1978y + -1.7689y2 = 0 Solving -5.4289 + -4.1978y + -1.7689y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -1.7689 the coefficient of the squared term: Divide each side by '-1.7689'. 3.069082481 + 2.373113234y + y2 = 0 Move the constant term to the right: Add '-3.069082481' to each side of the equation. 3.069082481 + 2.373113234y + -3.069082481 + y2 = 0 + -3.069082481 Reorder the terms: 3.069082481 + -3.069082481 + 2.373113234y + y2 = 0 + -3.069082481 Combine like terms: 3.069082481 + -3.069082481 = 0.000000000 0.000000000 + 2.373113234y + y2 = 0 + -3.069082481 2.373113234y + y2 = 0 + -3.069082481 Combine like terms: 0 + -3.069082481 = -3.069082481 2.373113234y + y2 = -3.069082481 The y term is 2.373113234y. Take half its coefficient (1.186556617). Square it (1.407916605) and add it to both sides. Add '1.407916605' to each side of the equation. 2.373113234y + 1.407916605 + y2 = -3.069082481 + 1.407916605 Reorder the terms: 1.407916605 + 2.373113234y + y2 = -3.069082481 + 1.407916605 Combine like terms: -3.069082481 + 1.407916605 = -1.661165876 1.407916605 + 2.373113234y + y2 = -1.661165876 Factor a perfect square on the left side: (y + 1.186556617)(y + 1.186556617) = -1.661165876 Can't calculate square root of the right side. The solution to this equation could not be determined.
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