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Simplifying 2x2 + -3y2 + -2y + 1 = 0 Reorder the terms: 1 + 2x2 + -2y + -3y2 = 0 Solving 1 + 2x2 + -2y + -3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x2 + -2y + -1 + -3y2 = 0 + -1 Reorder the terms: 1 + -1 + 2x2 + -2y + -3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 + -2y + -3y2 = 0 + -1 2x2 + -2y + -3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 + -2y + -3y2 = -1 Add '2y' to each side of the equation. 2x2 + -2y + 2y + -3y2 = -1 + 2y Combine like terms: -2y + 2y = 0 2x2 + 0 + -3y2 = -1 + 2y 2x2 + -3y2 = -1 + 2y Add '3y2' to each side of the equation. 2x2 + -3y2 + 3y2 = -1 + 2y + 3y2 Combine like terms: -3y2 + 3y2 = 0 2x2 + 0 = -1 + 2y + 3y2 2x2 = -1 + 2y + 3y2 Divide each side by '2'. x2 = -0.5 + y + 1.5y2 Simplifying x2 = -0.5 + y + 1.5y2 Reorder the terms: 0.5 + x2 + -1y + -1.5y2 = -0.5 + y + 1.5y2 + 0.5 + -1y + -1.5y2 Reorder the terms: 0.5 + x2 + -1y + -1.5y2 = -0.5 + 0.5 + y + -1y + 1.5y2 + -1.5y2 Combine like terms: -0.5 + 0.5 = 0.0 0.5 + x2 + -1y + -1.5y2 = 0.0 + y + -1y + 1.5y2 + -1.5y2 0.5 + x2 + -1y + -1.5y2 = y + -1y + 1.5y2 + -1.5y2 Combine like terms: y + -1y = 0 0.5 + x2 + -1y + -1.5y2 = 0 + 1.5y2 + -1.5y2 0.5 + x2 + -1y + -1.5y2 = 1.5y2 + -1.5y2 Combine like terms: 1.5y2 + -1.5y2 = 0.0 0.5 + x2 + -1y + -1.5y2 = 0.0 The solution to this equation could not be determined.
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