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Simplifying -22y2 + 41y = 71 Reorder the terms: 41y + -22y2 = 71 Solving 41y + -22y2 = 71 Solving for variable 'y'. Reorder the terms: -71 + 41y + -22y2 = 71 + -71 Combine like terms: 71 + -71 = 0 -71 + 41y + -22y2 = 0 Begin completing the square. Divide all terms by -22 the coefficient of the squared term: Divide each side by '-22'. 3.227272727 + -1.863636364y + y2 = 0 Move the constant term to the right: Add '-3.227272727' to each side of the equation. 3.227272727 + -1.863636364y + -3.227272727 + y2 = 0 + -3.227272727 Reorder the terms: 3.227272727 + -3.227272727 + -1.863636364y + y2 = 0 + -3.227272727 Combine like terms: 3.227272727 + -3.227272727 = 0.000000000 0.000000000 + -1.863636364y + y2 = 0 + -3.227272727 -1.863636364y + y2 = 0 + -3.227272727 Combine like terms: 0 + -3.227272727 = -3.227272727 -1.863636364y + y2 = -3.227272727 The y term is -1.863636364y. Take half its coefficient (-0.931818182). Square it (0.8682851243) and add it to both sides. Add '0.8682851243' to each side of the equation. -1.863636364y + 0.8682851243 + y2 = -3.227272727 + 0.8682851243 Reorder the terms: 0.8682851243 + -1.863636364y + y2 = -3.227272727 + 0.8682851243 Combine like terms: -3.227272727 + 0.8682851243 = -2.3589876027 0.8682851243 + -1.863636364y + y2 = -2.3589876027 Factor a perfect square on the left side: (y + -0.931818182)(y + -0.931818182) = -2.3589876027 Can't calculate square root of the right side. The solution to this equation could not be determined.
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