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Simplifying y2 + -6y + 9 = -361 Reorder the terms: 9 + -6y + y2 = -361 Solving 9 + -6y + y2 = -361 Solving for variable 'y'. Reorder the terms: 9 + 361 + -6y + y2 = -361 + 361 Combine like terms: 9 + 361 = 370 370 + -6y + y2 = -361 + 361 Combine like terms: -361 + 361 = 0 370 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-370' to each side of the equation. 370 + -6y + -370 + y2 = 0 + -370 Reorder the terms: 370 + -370 + -6y + y2 = 0 + -370 Combine like terms: 370 + -370 = 0 0 + -6y + y2 = 0 + -370 -6y + y2 = 0 + -370 Combine like terms: 0 + -370 = -370 -6y + y2 = -370 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -370 + 9 Reorder the terms: 9 + -6y + y2 = -370 + 9 Combine like terms: -370 + 9 = -361 9 + -6y + y2 = -361 Factor a perfect square on the left side: (y + -3)(y + -3) = -361 Can't calculate square root of the right side. The solution to this equation could not be determined.
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