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Simplifying 6y2 + -24y + -6x + 30 = 0 Reorder the terms: 30 + -6x + -24y + 6y2 = 0 Solving 30 + -6x + -24y + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -6x + -24y + -30 + 6y2 = 0 + -30 Reorder the terms: 30 + -30 + -6x + -24y + 6y2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6x + -24y + 6y2 = 0 + -30 -6x + -24y + 6y2 = 0 + -30 Combine like terms: 0 + -30 = -30 -6x + -24y + 6y2 = -30 Add '24y' to each side of the equation. -6x + -24y + 24y + 6y2 = -30 + 24y Combine like terms: -24y + 24y = 0 -6x + 0 + 6y2 = -30 + 24y -6x + 6y2 = -30 + 24y Add '-6y2' to each side of the equation. -6x + 6y2 + -6y2 = -30 + 24y + -6y2 Combine like terms: 6y2 + -6y2 = 0 -6x + 0 = -30 + 24y + -6y2 -6x = -30 + 24y + -6y2 Divide each side by '-6'. x = 5 + -4y + y2 Simplifying x = 5 + -4y + y2
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