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Simplifying y2 + 14y + 549 = 6 Reorder the terms: 549 + 14y + y2 = 6 Solving 549 + 14y + y2 = 6 Solving for variable 'y'. Reorder the terms: 549 + -6 + 14y + y2 = 6 + -6 Combine like terms: 549 + -6 = 543 543 + 14y + y2 = 6 + -6 Combine like terms: 6 + -6 = 0 543 + 14y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-543' to each side of the equation. 543 + 14y + -543 + y2 = 0 + -543 Reorder the terms: 543 + -543 + 14y + y2 = 0 + -543 Combine like terms: 543 + -543 = 0 0 + 14y + y2 = 0 + -543 14y + y2 = 0 + -543 Combine like terms: 0 + -543 = -543 14y + y2 = -543 The y term is 14y. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14y + 49 + y2 = -543 + 49 Reorder the terms: 49 + 14y + y2 = -543 + 49 Combine like terms: -543 + 49 = -494 49 + 14y + y2 = -494 Factor a perfect square on the left side: (y + 7)(y + 7) = -494 Can't calculate square root of the right side. The solution to this equation could not be determined.
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