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Simplifying y2 + 12y + 144 = 0 Reorder the terms: 144 + 12y + y2 = 0 Solving 144 + 12y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + 12y + -144 + y2 = 0 + -144 Reorder the terms: 144 + -144 + 12y + y2 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + 12y + y2 = 0 + -144 12y + y2 = 0 + -144 Combine like terms: 0 + -144 = -144 12y + y2 = -144 The y term is 12y. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12y + 36 + y2 = -144 + 36 Reorder the terms: 36 + 12y + y2 = -144 + 36 Combine like terms: -144 + 36 = -108 36 + 12y + y2 = -108 Factor a perfect square on the left side: (y + 6)(y + 6) = -108 Can't calculate square root of the right side. The solution to this equation could not be determined.
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