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Simplifying y2 + -12y + 36 = -256 Reorder the terms: 36 + -12y + y2 = -256 Solving 36 + -12y + y2 = -256 Solving for variable 'y'. Reorder the terms: 36 + 256 + -12y + y2 = -256 + 256 Combine like terms: 36 + 256 = 292 292 + -12y + y2 = -256 + 256 Combine like terms: -256 + 256 = 0 292 + -12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-292' to each side of the equation. 292 + -12y + -292 + y2 = 0 + -292 Reorder the terms: 292 + -292 + -12y + y2 = 0 + -292 Combine like terms: 292 + -292 = 0 0 + -12y + y2 = 0 + -292 -12y + y2 = 0 + -292 Combine like terms: 0 + -292 = -292 -12y + y2 = -292 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 = -292 + 36 Reorder the terms: 36 + -12y + y2 = -292 + 36 Combine like terms: -292 + 36 = -256 36 + -12y + y2 = -256 Factor a perfect square on the left side: (y + -6)(y + -6) = -256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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