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Simplifying y2 + 6y + 4x + 5 = 0 Reorder the terms: 5 + 4x + 6y + y2 = 0 Solving 5 + 4x + 6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4x + 6y + -5 + y2 = 0 + -5 Reorder the terms: 5 + -5 + 4x + 6y + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + 6y + y2 = 0 + -5 4x + 6y + y2 = 0 + -5 Combine like terms: 0 + -5 = -5 4x + 6y + y2 = -5 Add '-6y' to each side of the equation. 4x + 6y + -6y + y2 = -5 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + y2 = -5 + -6y 4x + y2 = -5 + -6y Add '-1y2' to each side of the equation. 4x + y2 + -1y2 = -5 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 4x + 0 = -5 + -6y + -1y2 4x = -5 + -6y + -1y2 Divide each side by '4'. x = -1.25 + -1.5y + -0.25y2 Simplifying x = -1.25 + -1.5y + -0.25y2
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