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Simplifying y2 + -12y + 157 = 0 Reorder the terms: 157 + -12y + y2 = 0 Solving 157 + -12y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-157' to each side of the equation. 157 + -12y + -157 + y2 = 0 + -157 Reorder the terms: 157 + -157 + -12y + y2 = 0 + -157 Combine like terms: 157 + -157 = 0 0 + -12y + y2 = 0 + -157 -12y + y2 = 0 + -157 Combine like terms: 0 + -157 = -157 -12y + y2 = -157 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 = -157 + 36 Reorder the terms: 36 + -12y + y2 = -157 + 36 Combine like terms: -157 + 36 = -121 36 + -12y + y2 = -121 Factor a perfect square on the left side: (y + -6)(y + -6) = -121 Can't calculate square root of the right side. The solution to this equation could not be determined.
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