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Simplifying 2x2 + 6y2 + -24 = 0 Reorder the terms: -24 + 2x2 + 6y2 = 0 Solving -24 + 2x2 + 6y2 = 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 + 2x2 + 24 + 6y2 = 0 + 24 Reorder the terms: -24 + 24 + 2x2 + 6y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x2 + 6y2 = 0 + 24 2x2 + 6y2 = 0 + 24 Combine like terms: 0 + 24 = 24 2x2 + 6y2 = 24 Add '-6y2' to each side of the equation. 2x2 + 6y2 + -6y2 = 24 + -6y2 Combine like terms: 6y2 + -6y2 = 0 2x2 + 0 = 24 + -6y2 2x2 = 24 + -6y2 Divide each side by '2'. x2 = 12 + -3y2 Simplifying x2 = 12 + -3y2 Reorder the terms: -12 + x2 + 3y2 = 12 + -3y2 + -12 + 3y2 Reorder the terms: -12 + x2 + 3y2 = 12 + -12 + -3y2 + 3y2 Combine like terms: 12 + -12 = 0 -12 + x2 + 3y2 = 0 + -3y2 + 3y2 -12 + x2 + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -12 + x2 + 3y2 = 0 The solution to this equation could not be determined.
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