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Simplifying y2 + 2y + 12 = 0 Reorder the terms: 12 + 2y + y2 = 0 Solving 12 + 2y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2y + -12 + y2 = 0 + -12 Reorder the terms: 12 + -12 + 2y + y2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2y + y2 = 0 + -12 2y + y2 = 0 + -12 Combine like terms: 0 + -12 = -12 2y + y2 = -12 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -12 + 1 Reorder the terms: 1 + 2y + y2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + 2y + y2 = -11 Factor a perfect square on the left side: (y + 1)(y + 1) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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