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Simplifying y2 + 39y + 507 = 0 Reorder the terms: 507 + 39y + y2 = 0 Solving 507 + 39y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-507' to each side of the equation. 507 + 39y + -507 + y2 = 0 + -507 Reorder the terms: 507 + -507 + 39y + y2 = 0 + -507 Combine like terms: 507 + -507 = 0 0 + 39y + y2 = 0 + -507 39y + y2 = 0 + -507 Combine like terms: 0 + -507 = -507 39y + y2 = -507 The y term is 39y. Take half its coefficient (19.5). Square it (380.25) and add it to both sides. Add '380.25' to each side of the equation. 39y + 380.25 + y2 = -507 + 380.25 Reorder the terms: 380.25 + 39y + y2 = -507 + 380.25 Combine like terms: -507 + 380.25 = -126.75 380.25 + 39y + y2 = -126.75 Factor a perfect square on the left side: (y + 19.5)(y + 19.5) = -126.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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