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Simplifying y2 + 6y + -4x + 1 = 0 Reorder the terms: 1 + -4x + 6y + y2 = 0 Solving 1 + -4x + 6y + y2 = 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 + -4x + 6y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -4x + 6y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x + 6y + y2 = 0 + -1 -4x + 6y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x + 6y + y2 = -1 Add '-6y' to each side of the equation. -4x + 6y + -6y + y2 = -1 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 + y2 = -1 + -6y -4x + y2 = -1 + -6y Add '-1y2' to each side of the equation. -4x + y2 + -1y2 = -1 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 -4x + 0 = -1 + -6y + -1y2 -4x = -1 + -6y + -1y2 Divide each side by '-4'. x = 0.25 + 1.5y + 0.25y2 Simplifying x = 0.25 + 1.5y + 0.25y2
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