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Simplifying 3y2 + 5x + 6y + 13 = 0 Reorder the terms: 13 + 5x + 6y + 3y2 = 0 Solving 13 + 5x + 6y + 3y2 = 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 + 3y2 = 0 + -13 Reorder the terms: 13 + -13 + 5x + 6y + 3y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5x + 6y + 3y2 = 0 + -13 5x + 6y + 3y2 = 0 + -13 Combine like terms: 0 + -13 = -13 5x + 6y + 3y2 = -13 Add '-6y' to each side of the equation. 5x + 6y + -6y + 3y2 = -13 + -6y Combine like terms: 6y + -6y = 0 5x + 0 + 3y2 = -13 + -6y 5x + 3y2 = -13 + -6y Add '-3y2' to each side of the equation. 5x + 3y2 + -3y2 = -13 + -6y + -3y2 Combine like terms: 3y2 + -3y2 = 0 5x + 0 = -13 + -6y + -3y2 5x = -13 + -6y + -3y2 Divide each side by '5'. x = -2.6 + -1.2y + -0.6y2 Simplifying x = -2.6 + -1.2y + -0.6y2
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