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Simplifying y2 + -12y + 36 = -100 Reorder the terms: 36 + -12y + y2 = -100 Solving 36 + -12y + y2 = -100 Solving for variable 'y'. Reorder the terms: 36 + 100 + -12y + y2 = -100 + 100 Combine like terms: 36 + 100 = 136 136 + -12y + y2 = -100 + 100 Combine like terms: -100 + 100 = 0 136 + -12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-136' to each side of the equation. 136 + -12y + -136 + y2 = 0 + -136 Reorder the terms: 136 + -136 + -12y + y2 = 0 + -136 Combine like terms: 136 + -136 = 0 0 + -12y + y2 = 0 + -136 -12y + y2 = 0 + -136 Combine like terms: 0 + -136 = -136 -12y + y2 = -136 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 = -136 + 36 Reorder the terms: 36 + -12y + y2 = -136 + 36 Combine like terms: -136 + 36 = -100 36 + -12y + y2 = -100 Factor a perfect square on the left side: (y + -6)(y + -6) = -100 Can't calculate square root of the right side. The solution to this equation could not be determined.
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