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Simplifying 4x2 + 4y2 + -2y + 4 = 0 Reorder the terms: 4 + 4x2 + -2y + 4y2 = 0 Solving 4 + 4x2 + -2y + 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 + 4x2 + -2y + -4 + 4y2 = 0 + -4 Reorder the terms: 4 + -4 + 4x2 + -2y + 4y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x2 + -2y + 4y2 = 0 + -4 4x2 + -2y + 4y2 = 0 + -4 Combine like terms: 0 + -4 = -4 4x2 + -2y + 4y2 = -4 Add '2y' to each side of the equation. 4x2 + -2y + 2y + 4y2 = -4 + 2y Combine like terms: -2y + 2y = 0 4x2 + 0 + 4y2 = -4 + 2y 4x2 + 4y2 = -4 + 2y Add '-4y2' to each side of the equation. 4x2 + 4y2 + -4y2 = -4 + 2y + -4y2 Combine like terms: 4y2 + -4y2 = 0 4x2 + 0 = -4 + 2y + -4y2 4x2 = -4 + 2y + -4y2 Divide each side by '4'. x2 = -1 + 0.5y + -1y2 Simplifying x2 = -1 + 0.5y + -1y2 Reorder the terms: 1 + x2 + -0.5y + y2 = -1 + 0.5y + -1y2 + 1 + -0.5y + y2 Reorder the terms: 1 + x2 + -0.5y + y2 = -1 + 1 + 0.5y + -0.5y + -1y2 + y2 Combine like terms: -1 + 1 = 0 1 + x2 + -0.5y + y2 = 0 + 0.5y + -0.5y + -1y2 + y2 1 + x2 + -0.5y + y2 = 0.5y + -0.5y + -1y2 + y2 Combine like terms: 0.5y + -0.5y = 0.0 1 + x2 + -0.5y + y2 = 0.0 + -1y2 + y2 1 + x2 + -0.5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 1 + x2 + -0.5y + y2 = 0 The solution to this equation could not be determined.
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