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Simplifying y2 + 6y + 5x + 4 = 0 Reorder the terms: 4 + 5x + 6y + y2 = 0 Solving 4 + 5x + 6y + y2 = 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 + 5x + 6y + -4 + y2 = 0 + -4 Reorder the terms: 4 + -4 + 5x + 6y + y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + 6y + y2 = 0 + -4 5x + 6y + y2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x + 6y + y2 = -4 Add '-6y' to each side of the equation. 5x + 6y + -6y + y2 = -4 + -6y Combine like terms: 6y + -6y = 0 5x + 0 + y2 = -4 + -6y 5x + y2 = -4 + -6y Add '-1y2' to each side of the equation. 5x + y2 + -1y2 = -4 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 5x + 0 = -4 + -6y + -1y2 5x = -4 + -6y + -1y2 Divide each side by '5'. x = -0.8 + -1.2y + -0.2y2 Simplifying x = -0.8 + -1.2y + -0.2y2
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