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Simplifying x2 + 4y2 + 5y + 4 = 0 Reorder the terms: 4 + x2 + 5y + 4y2 = 0 Solving 4 + x2 + 5y + 4y2 = 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 + 5y + -4 + 4y2 = 0 + -4 Reorder the terms: 4 + -4 + x2 + 5y + 4y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2 + 5y + 4y2 = 0 + -4 x2 + 5y + 4y2 = 0 + -4 Combine like terms: 0 + -4 = -4 x2 + 5y + 4y2 = -4 Add '-5y' to each side of the equation. x2 + 5y + -5y + 4y2 = -4 + -5y Combine like terms: 5y + -5y = 0 x2 + 0 + 4y2 = -4 + -5y x2 + 4y2 = -4 + -5y Add '-4y2' to each side of the equation. x2 + 4y2 + -4y2 = -4 + -5y + -4y2 Combine like terms: 4y2 + -4y2 = 0 x2 + 0 = -4 + -5y + -4y2 x2 = -4 + -5y + -4y2 Simplifying x2 = -4 + -5y + -4y2 Reorder the terms: 4 + x2 + 5y + 4y2 = -4 + -5y + -4y2 + 4 + 5y + 4y2 Reorder the terms: 4 + x2 + 5y + 4y2 = -4 + 4 + -5y + 5y + -4y2 + 4y2 Combine like terms: -4 + 4 = 0 4 + x2 + 5y + 4y2 = 0 + -5y + 5y + -4y2 + 4y2 4 + x2 + 5y + 4y2 = -5y + 5y + -4y2 + 4y2 Combine like terms: -5y + 5y = 0 4 + x2 + 5y + 4y2 = 0 + -4y2 + 4y2 4 + x2 + 5y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 4 + x2 + 5y + 4y2 = 0 The solution to this equation could not be determined.
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