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Simplifying y(7y + -5) = -39 Reorder the terms: y(-5 + 7y) = -39 (-5 * y + 7y * y) = -39 (-5y + 7y2) = -39 Solving -5y + 7y2 = -39 Solving for variable 'y'. Reorder the terms: 39 + -5y + 7y2 = -39 + 39 Combine like terms: -39 + 39 = 0 39 + -5y + 7y2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 5.571428571 + -0.7142857143y + y2 = 0 Move the constant term to the right: Add '-5.571428571' to each side of the equation. 5.571428571 + -0.7142857143y + -5.571428571 + y2 = 0 + -5.571428571 Reorder the terms: 5.571428571 + -5.571428571 + -0.7142857143y + y2 = 0 + -5.571428571 Combine like terms: 5.571428571 + -5.571428571 = 0.000000000 0.000000000 + -0.7142857143y + y2 = 0 + -5.571428571 -0.7142857143y + y2 = 0 + -5.571428571 Combine like terms: 0 + -5.571428571 = -5.571428571 -0.7142857143y + y2 = -5.571428571 The y term is -0.7142857143y. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143y + 0.1275510204 + y2 = -5.571428571 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143y + y2 = -5.571428571 + 0.1275510204 Combine like terms: -5.571428571 + 0.1275510204 = -5.4438775506 0.1275510204 + -0.7142857143y + y2 = -5.4438775506 Factor a perfect square on the left side: (y + -0.3571428572)(y + -0.3571428572) = -5.4438775506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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