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Simplifying 2y2 + -3xy + 6y + 2x + 4 = 0 Reorder the terms: 4 + 2x + -3xy + 6y + 2y2 = 0 Solving 4 + 2x + -3xy + 6y + 2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + -3xy + 6y + -4 + 2y2 = 0 + -4 Reorder the terms: 4 + -4 + 2x + -3xy + 6y + 2y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + -3xy + 6y + 2y2 = 0 + -4 2x + -3xy + 6y + 2y2 = 0 + -4 Combine like terms: 0 + -4 = -4 2x + -3xy + 6y + 2y2 = -4 Add '-6y' to each side of the equation. 2x + -3xy + 6y + -6y + 2y2 = -4 + -6y Combine like terms: 6y + -6y = 0 2x + -3xy + 0 + 2y2 = -4 + -6y 2x + -3xy + 2y2 = -4 + -6y Add '-2y2' to each side of the equation. 2x + -3xy + 2y2 + -2y2 = -4 + -6y + -2y2 Combine like terms: 2y2 + -2y2 = 0 2x + -3xy + 0 = -4 + -6y + -2y2 2x + -3xy = -4 + -6y + -2y2 Reorder the terms: 4 + 2x + -3xy + 6y + 2y2 = -4 + -6y + -2y2 + 4 + 6y + 2y2 Reorder the terms: 4 + 2x + -3xy + 6y + 2y2 = -4 + 4 + -6y + 6y + -2y2 + 2y2 Combine like terms: -4 + 4 = 0 4 + 2x + -3xy + 6y + 2y2 = 0 + -6y + 6y + -2y2 + 2y2 4 + 2x + -3xy + 6y + 2y2 = -6y + 6y + -2y2 + 2y2 Combine like terms: -6y + 6y = 0 4 + 2x + -3xy + 6y + 2y2 = 0 + -2y2 + 2y2 4 + 2x + -3xy + 6y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 4 + 2x + -3xy + 6y + 2y2 = 0 The solution to this equation could not be determined.
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