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Simplifying 3x2 + 3y2 + -24y + 6y + -24 = 0 Reorder the terms: -24 + 3x2 + -24y + 6y + 3y2 = 0 Combine like terms: -24y + 6y = -18y -24 + 3x2 + -18y + 3y2 = 0 Solving -24 + 3x2 + -18y + 3y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 3x2 + -18y + 24 + 3y2 = 0 + 24 Reorder the terms: -24 + 24 + 3x2 + -18y + 3y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3x2 + -18y + 3y2 = 0 + 24 3x2 + -18y + 3y2 = 0 + 24 Combine like terms: 0 + 24 = 24 3x2 + -18y + 3y2 = 24 Add '18y' to each side of the equation. 3x2 + -18y + 18y + 3y2 = 24 + 18y Combine like terms: -18y + 18y = 0 3x2 + 0 + 3y2 = 24 + 18y 3x2 + 3y2 = 24 + 18y Add '-3y2' to each side of the equation. 3x2 + 3y2 + -3y2 = 24 + 18y + -3y2 Combine like terms: 3y2 + -3y2 = 0 3x2 + 0 = 24 + 18y + -3y2 3x2 = 24 + 18y + -3y2 Divide each side by '3'. x2 = 8 + 6y + -1y2 Simplifying x2 = 8 + 6y + -1y2 Reorder the terms: -8 + x2 + -6y + y2 = 8 + 6y + -1y2 + -8 + -6y + y2 Reorder the terms: -8 + x2 + -6y + y2 = 8 + -8 + 6y + -6y + -1y2 + y2 Combine like terms: 8 + -8 = 0 -8 + x2 + -6y + y2 = 0 + 6y + -6y + -1y2 + y2 -8 + x2 + -6y + y2 = 6y + -6y + -1y2 + y2 Combine like terms: 6y + -6y = 0 -8 + x2 + -6y + y2 = 0 + -1y2 + y2 -8 + x2 + -6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -8 + x2 + -6y + y2 = 0 The solution to this equation could not be determined.
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