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Simplifying y2 + -4x + -6y + 13 = 0 Reorder the terms: 13 + -4x + -6y + y2 = 0 Solving 13 + -4x + -6y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -4x + -6y + -13 + y2 = 0 + -13 Reorder the terms: 13 + -13 + -4x + -6y + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x + -6y + y2 = 0 + -13 -4x + -6y + y2 = 0 + -13 Combine like terms: 0 + -13 = -13 -4x + -6y + y2 = -13 Add '6y' to each side of the equation. -4x + -6y + 6y + y2 = -13 + 6y Combine like terms: -6y + 6y = 0 -4x + 0 + y2 = -13 + 6y -4x + y2 = -13 + 6y Add '-1y2' to each side of the equation. -4x + y2 + -1y2 = -13 + 6y + -1y2 Combine like terms: y2 + -1y2 = 0 -4x + 0 = -13 + 6y + -1y2 -4x = -13 + 6y + -1y2 Divide each side by '-4'. x = 3.25 + -1.5y + 0.25y2 Simplifying x = 3.25 + -1.5y + 0.25y2
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