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Simplifying 4x2 + Xy + 2y2 = 8 Solving 4x2 + yX + 2y2 = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX' to each side of the equation. 4x2 + yX + -1yX + 2y2 = 8 + -1yX Combine like terms: yX + -1yX = 0 4x2 + 0 + 2y2 = 8 + -1yX 4x2 + 2y2 = 8 + -1yX Add '-2y2' to each side of the equation. 4x2 + 2y2 + -2y2 = 8 + -1yX + -2y2 Combine like terms: 2y2 + -2y2 = 0 4x2 + 0 = 8 + -1yX + -2y2 4x2 = 8 + -1yX + -2y2 Divide each side by '4'. x2 = 2 + -0.25yX + -0.5y2 Simplifying x2 = 2 + -0.25yX + -0.5y2 Reorder the terms: -2 + x2 + 0.25yX + 0.5y2 = 2 + -0.25yX + -0.5y2 + -2 + 0.25yX + 0.5y2 Reorder the terms: -2 + x2 + 0.25yX + 0.5y2 = 2 + -2 + -0.25yX + 0.25yX + -0.5y2 + 0.5y2 Combine like terms: 2 + -2 = 0 -2 + x2 + 0.25yX + 0.5y2 = 0 + -0.25yX + 0.25yX + -0.5y2 + 0.5y2 -2 + x2 + 0.25yX + 0.5y2 = -0.25yX + 0.25yX + -0.5y2 + 0.5y2 Combine like terms: -0.25yX + 0.25yX = 0.00 -2 + x2 + 0.25yX + 0.5y2 = 0.00 + -0.5y2 + 0.5y2 -2 + x2 + 0.25yX + 0.5y2 = -0.5y2 + 0.5y2 Combine like terms: -0.5y2 + 0.5y2 = 0.0 -2 + x2 + 0.25yX + 0.5y2 = 0.0 The solution to this equation could not be determined.
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