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Simplifying 20y2 + -28y + 17 = 0 Reorder the terms: 17 + -28y + 20y2 = 0 Solving 17 + -28y + 20y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.85 + -1.4y + y2 = 0 Move the constant term to the right: Add '-0.85' to each side of the equation. 0.85 + -1.4y + -0.85 + y2 = 0 + -0.85 Reorder the terms: 0.85 + -0.85 + -1.4y + y2 = 0 + -0.85 Combine like terms: 0.85 + -0.85 = 0.00 0.00 + -1.4y + y2 = 0 + -0.85 -1.4y + y2 = 0 + -0.85 Combine like terms: 0 + -0.85 = -0.85 -1.4y + y2 = -0.85 The y term is -1.4y. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4y + 0.49 + y2 = -0.85 + 0.49 Reorder the terms: 0.49 + -1.4y + y2 = -0.85 + 0.49 Combine like terms: -0.85 + 0.49 = -0.36 0.49 + -1.4y + y2 = -0.36 Factor a perfect square on the left side: (y + -0.7)(y + -0.7) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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