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Simplifying 4x2 + y2 + 2y + -3 = 0 Reorder the terms: -3 + 4x2 + 2y + y2 = 0 Solving -3 + 4x2 + 2y + 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 + 2y + 3 + y2 = 0 + 3 Reorder the terms: -3 + 3 + 4x2 + 2y + y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x2 + 2y + y2 = 0 + 3 4x2 + 2y + y2 = 0 + 3 Combine like terms: 0 + 3 = 3 4x2 + 2y + y2 = 3 Add '-2y' to each side of the equation. 4x2 + 2y + -2y + y2 = 3 + -2y Combine like terms: 2y + -2y = 0 4x2 + 0 + y2 = 3 + -2y 4x2 + y2 = 3 + -2y Add '-1y2' to each side of the equation. 4x2 + y2 + -1y2 = 3 + -2y + -1y2 Combine like terms: y2 + -1y2 = 0 4x2 + 0 = 3 + -2y + -1y2 4x2 = 3 + -2y + -1y2 Divide each side by '4'. x2 = 0.75 + -0.5y + -0.25y2 Simplifying x2 = 0.75 + -0.5y + -0.25y2 Reorder the terms: -0.75 + x2 + 0.5y + 0.25y2 = 0.75 + -0.5y + -0.25y2 + -0.75 + 0.5y + 0.25y2 Reorder the terms: -0.75 + x2 + 0.5y + 0.25y2 = 0.75 + -0.75 + -0.5y + 0.5y + -0.25y2 + 0.25y2 Combine like terms: 0.75 + -0.75 = 0.00 -0.75 + x2 + 0.5y + 0.25y2 = 0.00 + -0.5y + 0.5y + -0.25y2 + 0.25y2 -0.75 + x2 + 0.5y + 0.25y2 = -0.5y + 0.5y + -0.25y2 + 0.25y2 Combine like terms: -0.5y + 0.5y = 0.0 -0.75 + x2 + 0.5y + 0.25y2 = 0.0 + -0.25y2 + 0.25y2 -0.75 + x2 + 0.5y + 0.25y2 = -0.25y2 + 0.25y2 Combine like terms: -0.25y2 + 0.25y2 = 0.00 -0.75 + x2 + 0.5y + 0.25y2 = 0.00 The solution to this equation could not be determined.
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