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Simplifying 24y2 + -311y + 2002 = 0 Reorder the terms: 2002 + -311y + 24y2 = 0 Solving 2002 + -311y + 24y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 83.41666667 + -12.95833333y + y2 = 0 Move the constant term to the right: Add '-83.41666667' to each side of the equation. 83.41666667 + -12.95833333y + -83.41666667 + y2 = 0 + -83.41666667 Reorder the terms: 83.41666667 + -83.41666667 + -12.95833333y + y2 = 0 + -83.41666667 Combine like terms: 83.41666667 + -83.41666667 = 0.00000000 0.00000000 + -12.95833333y + y2 = 0 + -83.41666667 -12.95833333y + y2 = 0 + -83.41666667 Combine like terms: 0 + -83.41666667 = -83.41666667 -12.95833333y + y2 = -83.41666667 The y term is -12.95833333y. Take half its coefficient (-6.479166665). Square it (41.97960067) and add it to both sides. Add '41.97960067' to each side of the equation. -12.95833333y + 41.97960067 + y2 = -83.41666667 + 41.97960067 Reorder the terms: 41.97960067 + -12.95833333y + y2 = -83.41666667 + 41.97960067 Combine like terms: -83.41666667 + 41.97960067 = -41.437066 41.97960067 + -12.95833333y + y2 = -41.437066 Factor a perfect square on the left side: (y + -6.479166665)(y + -6.479166665) = -41.437066 Can't calculate square root of the right side. The solution to this equation could not be determined.
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