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Simplifying -0.25y2 + -6y = 76.25 Reorder the terms: -6y + -0.25y2 = 76.25 Solving -6y + -0.25y2 = 76.25 Solving for variable 'y'. Reorder the terms: -76.25 + -6y + -0.25y2 = 76.25 + -76.25 Combine like terms: 76.25 + -76.25 = 0.00 -76.25 + -6y + -0.25y2 = 0.00 Begin completing the square. Divide all terms by -0.25 the coefficient of the squared term: Divide each side by '-0.25'. 305 + 24y + y2 = 0 Move the constant term to the right: Add '-305' to each side of the equation. 305 + 24y + -305 + y2 = 0 + -305 Reorder the terms: 305 + -305 + 24y + y2 = 0 + -305 Combine like terms: 305 + -305 = 0 0 + 24y + y2 = 0 + -305 24y + y2 = 0 + -305 Combine like terms: 0 + -305 = -305 24y + y2 = -305 The y term is 24y. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24y + 144 + y2 = -305 + 144 Reorder the terms: 144 + 24y + y2 = -305 + 144 Combine like terms: -305 + 144 = -161 144 + 24y + y2 = -161 Factor a perfect square on the left side: (y + 12)(y + 12) = -161 Can't calculate square root of the right side. The solution to this equation could not be determined.
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