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Simplifying y2 + 8y + 400 = 0 Reorder the terms: 400 + 8y + y2 = 0 Solving 400 + 8y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-400' to each side of the equation. 400 + 8y + -400 + y2 = 0 + -400 Reorder the terms: 400 + -400 + 8y + y2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 8y + y2 = 0 + -400 8y + y2 = 0 + -400 Combine like terms: 0 + -400 = -400 8y + y2 = -400 The y term is 8y. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8y + 16 + y2 = -400 + 16 Reorder the terms: 16 + 8y + y2 = -400 + 16 Combine like terms: -400 + 16 = -384 16 + 8y + y2 = -384 Factor a perfect square on the left side: (y + 4)(y + 4) = -384 Can't calculate square root of the right side. The solution to this equation could not be determined.
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