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Simplifying y2 + 7y + 23 = 0 Reorder the terms: 23 + 7y + y2 = 0 Solving 23 + 7y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + 7y + -23 + y2 = 0 + -23 Reorder the terms: 23 + -23 + 7y + y2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7y + y2 = 0 + -23 7y + y2 = 0 + -23 Combine like terms: 0 + -23 = -23 7y + y2 = -23 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 = -23 + 12.25 Reorder the terms: 12.25 + 7y + y2 = -23 + 12.25 Combine like terms: -23 + 12.25 = -10.75 12.25 + 7y + y2 = -10.75 Factor a perfect square on the left side: (y + 3.5)(y + 3.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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