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Simplifying y4 + y2 + 1 = 0 Reorder the terms: 1 + y2 + y4 = 0 Solving 1 + y2 + y4 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + y2 + -1 + y4 = 0 + -1 Reorder the terms: 1 + -1 + y2 + y4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y2 + y4 = 0 + -1 y2 + y4 = 0 + -1 Combine like terms: 0 + -1 = -1 y2 + y4 = -1 The y term is y2. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y2 + 0.25 + y4 = -1 + 0.25 Reorder the terms: 0.25 + y2 + y4 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + y2 + y4 = -0.75 Factor a perfect square on the left side: (y2 + 0.5)(y2 + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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