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Simplifying 20y2 + -13y + 3 = 0 Reorder the terms: 3 + -13y + 20y2 = 0 Solving 3 + -13y + 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'. 0.15 + -0.65y + y2 = 0 Move the constant term to the right: Add '-0.15' to each side of the equation. 0.15 + -0.65y + -0.15 + y2 = 0 + -0.15 Reorder the terms: 0.15 + -0.15 + -0.65y + y2 = 0 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -0.65y + y2 = 0 + -0.15 -0.65y + y2 = 0 + -0.15 Combine like terms: 0 + -0.15 = -0.15 -0.65y + y2 = -0.15 The y term is -0.65y. Take half its coefficient (-0.325). Square it (0.105625) and add it to both sides. Add '0.105625' to each side of the equation. -0.65y + 0.105625 + y2 = -0.15 + 0.105625 Reorder the terms: 0.105625 + -0.65y + y2 = -0.15 + 0.105625 Combine like terms: -0.15 + 0.105625 = -0.044375 0.105625 + -0.65y + y2 = -0.044375 Factor a perfect square on the left side: (y + -0.325)(y + -0.325) = -0.044375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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