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Simplifying y2 + -12y + 36 = -49 Reorder the terms: 36 + -12y + y2 = -49 Solving 36 + -12y + y2 = -49 Solving for variable 'y'. Reorder the terms: 36 + 49 + -12y + y2 = -49 + 49 Combine like terms: 36 + 49 = 85 85 + -12y + y2 = -49 + 49 Combine like terms: -49 + 49 = 0 85 + -12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-85' to each side of the equation. 85 + -12y + -85 + y2 = 0 + -85 Reorder the terms: 85 + -85 + -12y + y2 = 0 + -85 Combine like terms: 85 + -85 = 0 0 + -12y + y2 = 0 + -85 -12y + y2 = 0 + -85 Combine like terms: 0 + -85 = -85 -12y + y2 = -85 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 = -85 + 36 Reorder the terms: 36 + -12y + y2 = -85 + 36 Combine like terms: -85 + 36 = -49 36 + -12y + y2 = -49 Factor a perfect square on the left side: (y + -6)(y + -6) = -49 Can't calculate square root of the right side. The solution to this equation could not be determined.
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