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