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Simplifying 5y2 + -28y + 40 = 0 Reorder the terms: 40 + -28y + 5y2 = 0 Solving 40 + -28y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8 + -5.6y + y2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5.6y + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + -5.6y + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5.6y + y2 = 0 + -8 -5.6y + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5.6y + y2 = -8 The y term is -5.6y. Take half its coefficient (-2.8). Square it (7.84) and add it to both sides. Add '7.84' to each side of the equation. -5.6y + 7.84 + y2 = -8 + 7.84 Reorder the terms: 7.84 + -5.6y + y2 = -8 + 7.84 Combine like terms: -8 + 7.84 = -0.16 7.84 + -5.6y + y2 = -0.16 Factor a perfect square on the left side: (y + -2.8)(y + -2.8) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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