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Simplifying x4 + x2y2 + 25y4 = 0 Reorder the terms: x2y2 + x4 + 25y4 = 0 Solving x2y2 + x4 + 25y4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-25y4' to each side of the equation. x2y2 + x4 + 25y4 + -25y4 = 0 + -25y4 Combine like terms: 25y4 + -25y4 = 0 x2y2 + x4 + 0 = 0 + -25y4 x2y2 + x4 = 0 + -25y4 Remove the zero: x2y2 + x4 = -25y4 The x term is x2y2. Take half its coefficient (0.5y2). Square it (0.25y4) and add it to both sides. Add '0.25y4' to each side of the equation. x2y2 + x4 + 0.25y4 = -25y4 + 0.25y4 Combine like terms: -25y4 + 0.25y4 = -24.75y4 x2y2 + x4 + 0.25y4 = -24.75y4 Factor a perfect square on the left side: (x2 + 0.5y2)(x2 + 0.5y2) = -24.75y4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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