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Simplifying 4x2 + y2 + 4y + 3 = 0 Reorder the terms: 3 + 4x2 + 4y + y2 = 0 Solving 3 + 4x2 + 4y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4x2 + 4y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 4x2 + 4y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x2 + 4y + y2 = 0 + -3 4x2 + 4y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 4x2 + 4y + y2 = -3 Add '-4y' to each side of the equation. 4x2 + 4y + -4y + y2 = -3 + -4y Combine like terms: 4y + -4y = 0 4x2 + 0 + y2 = -3 + -4y 4x2 + y2 = -3 + -4y Add '-1y2' to each side of the equation. 4x2 + y2 + -1y2 = -3 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 4x2 + 0 = -3 + -4y + -1y2 4x2 = -3 + -4y + -1y2 Divide each side by '4'. x2 = -0.75 + -1y + -0.25y2 Simplifying x2 = -0.75 + -1y + -0.25y2 Reorder the terms: 0.75 + x2 + y + 0.25y2 = -0.75 + -1y + -0.25y2 + 0.75 + y + 0.25y2 Reorder the terms: 0.75 + x2 + y + 0.25y2 = -0.75 + 0.75 + -1y + y + -0.25y2 + 0.25y2 Combine like terms: -0.75 + 0.75 = 0.00 0.75 + x2 + y + 0.25y2 = 0.00 + -1y + y + -0.25y2 + 0.25y2 0.75 + x2 + y + 0.25y2 = -1y + y + -0.25y2 + 0.25y2 Combine like terms: -1y + y = 0 0.75 + x2 + y + 0.25y2 = 0 + -0.25y2 + 0.25y2 0.75 + x2 + y + 0.25y2 = -0.25y2 + 0.25y2 Combine like terms: -0.25y2 + 0.25y2 = 0.00 0.75 + x2 + y + 0.25y2 = 0.00 The solution to this equation could not be determined.
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