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Simplifying 2y2 + -9y + 31 + -1y2 + 2y + -1 = 0 Reorder the terms: 31 + -1 + -9y + 2y + 2y2 + -1y2 = 0 Combine like terms: 31 + -1 = 30 30 + -9y + 2y + 2y2 + -1y2 = 0 Combine like terms: -9y + 2y = -7y 30 + -7y + 2y2 + -1y2 = 0 Combine like terms: 2y2 + -1y2 = 1y2 30 + -7y + 1y2 = 0 Solving 30 + -7y + 1y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -7y + -30 + y2 = 0 + -30 Reorder the terms: 30 + -30 + -7y + y2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -7y + y2 = 0 + -30 -7y + y2 = 0 + -30 Combine like terms: 0 + -30 = -30 -7y + y2 = -30 The y term is -7y. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7y + 12.25 + y2 = -30 + 12.25 Reorder the terms: 12.25 + -7y + y2 = -30 + 12.25 Combine like terms: -30 + 12.25 = -17.75 12.25 + -7y + y2 = -17.75 Factor a perfect square on the left side: (y + -3.5)(y + -3.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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