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Simplifying 2x2 + y2 + -4y + 3 = 0 Reorder the terms: 3 + 2x2 + -4y + y2 = 0 Solving 3 + 2x2 + -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 + 2x2 + -4y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 2x2 + -4y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x2 + -4y + y2 = 0 + -3 2x2 + -4y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 2x2 + -4y + y2 = -3 Add '4y' to each side of the equation. 2x2 + -4y + 4y + y2 = -3 + 4y Combine like terms: -4y + 4y = 0 2x2 + 0 + y2 = -3 + 4y 2x2 + y2 = -3 + 4y Add '-1y2' to each side of the equation. 2x2 + y2 + -1y2 = -3 + 4y + -1y2 Combine like terms: y2 + -1y2 = 0 2x2 + 0 = -3 + 4y + -1y2 2x2 = -3 + 4y + -1y2 Divide each side by '2'. x2 = -1.5 + 2y + -0.5y2 Simplifying x2 = -1.5 + 2y + -0.5y2 Reorder the terms: 1.5 + x2 + -2y + 0.5y2 = -1.5 + 2y + -0.5y2 + 1.5 + -2y + 0.5y2 Reorder the terms: 1.5 + x2 + -2y + 0.5y2 = -1.5 + 1.5 + 2y + -2y + -0.5y2 + 0.5y2 Combine like terms: -1.5 + 1.5 = 0.0 1.5 + x2 + -2y + 0.5y2 = 0.0 + 2y + -2y + -0.5y2 + 0.5y2 1.5 + x2 + -2y + 0.5y2 = 2y + -2y + -0.5y2 + 0.5y2 Combine like terms: 2y + -2y = 0 1.5 + x2 + -2y + 0.5y2 = 0 + -0.5y2 + 0.5y2 1.5 + x2 + -2y + 0.5y2 = -0.5y2 + 0.5y2 Combine like terms: -0.5y2 + 0.5y2 = 0.0 1.5 + x2 + -2y + 0.5y2 = 0.0 The solution to this equation could not be determined.
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