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Simplifying y2 + 6y + -5x + 13 = 0 Reorder the terms: 13 + -5x + 6y + y2 = 0 Solving 13 + -5x + 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 + -5x + 6y + -13 + y2 = 0 + -13 Reorder the terms: 13 + -13 + -5x + 6y + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -5x + 6y + y2 = 0 + -13 -5x + 6y + y2 = 0 + -13 Combine like terms: 0 + -13 = -13 -5x + 6y + y2 = -13 Add '-6y' to each side of the equation. -5x + 6y + -6y + y2 = -13 + -6y Combine like terms: 6y + -6y = 0 -5x + 0 + y2 = -13 + -6y -5x + y2 = -13 + -6y Add '-1y2' to each side of the equation. -5x + y2 + -1y2 = -13 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 -5x + 0 = -13 + -6y + -1y2 -5x = -13 + -6y + -1y2 Divide each side by '-5'. x = 2.6 + 1.2y + 0.2y2 Simplifying x = 2.6 + 1.2y + 0.2y2
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