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Simplifying 6y2 + 4y + -3y2 + 2x = 0 Reorder the terms: 2x + 4y + 6y2 + -3y2 = 0 Combine like terms: 6y2 + -3y2 = 3y2 2x + 4y + 3y2 = 0 Solving 2x + 4y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 2x + 4y + -4y + 3y2 = 0 + -4y Combine like terms: 4y + -4y = 0 2x + 0 + 3y2 = 0 + -4y 2x + 3y2 = 0 + -4y Remove the zero: 2x + 3y2 = -4y Add '-3y2' to each side of the equation. 2x + 3y2 + -3y2 = -4y + -3y2 Combine like terms: 3y2 + -3y2 = 0 2x + 0 = -4y + -3y2 2x = -4y + -3y2 Divide each side by '2'. x = -2y + -1.5y2 Simplifying x = -2y + -1.5y2
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