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Simplifying y2 + 17y + 74 = 0 Reorder the terms: 74 + 17y + y2 = 0 Solving 74 + 17y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-74' to each side of the equation. 74 + 17y + -74 + y2 = 0 + -74 Reorder the terms: 74 + -74 + 17y + y2 = 0 + -74 Combine like terms: 74 + -74 = 0 0 + 17y + y2 = 0 + -74 17y + y2 = 0 + -74 Combine like terms: 0 + -74 = -74 17y + y2 = -74 The y term is 17y. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17y + 72.25 + y2 = -74 + 72.25 Reorder the terms: 72.25 + 17y + y2 = -74 + 72.25 Combine like terms: -74 + 72.25 = -1.75 72.25 + 17y + y2 = -1.75 Factor a perfect square on the left side: (y + 8.5)(y + 8.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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