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Simplifying 5y2 + -25y = -104 Reorder the terms: -25y + 5y2 = -104 Solving -25y + 5y2 = -104 Solving for variable 'y'. Reorder the terms: 104 + -25y + 5y2 = -104 + 104 Combine like terms: -104 + 104 = 0 104 + -25y + 5y2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 20.8 + -5y + y2 = 0 Move the constant term to the right: Add '-20.8' to each side of the equation. 20.8 + -5y + -20.8 + y2 = 0 + -20.8 Reorder the terms: 20.8 + -20.8 + -5y + y2 = 0 + -20.8 Combine like terms: 20.8 + -20.8 = 0.0 0.0 + -5y + y2 = 0 + -20.8 -5y + y2 = 0 + -20.8 Combine like terms: 0 + -20.8 = -20.8 -5y + y2 = -20.8 The y term is -5y. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y + 6.25 + y2 = -20.8 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -20.8 + 6.25 Combine like terms: -20.8 + 6.25 = -14.55 6.25 + -5y + y2 = -14.55 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = -14.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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