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Simplifying 3x2 + -6y2 + -12y + -24 = 0 Reorder the terms: -24 + 3x2 + -12y + -6y2 = 0 Solving -24 + 3x2 + -12y + -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 + 3x2 + -12y + 24 + -6y2 = 0 + 24 Reorder the terms: -24 + 24 + 3x2 + -12y + -6y2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3x2 + -12y + -6y2 = 0 + 24 3x2 + -12y + -6y2 = 0 + 24 Combine like terms: 0 + 24 = 24 3x2 + -12y + -6y2 = 24 Add '12y' to each side of the equation. 3x2 + -12y + 12y + -6y2 = 24 + 12y Combine like terms: -12y + 12y = 0 3x2 + 0 + -6y2 = 24 + 12y 3x2 + -6y2 = 24 + 12y Add '6y2' to each side of the equation. 3x2 + -6y2 + 6y2 = 24 + 12y + 6y2 Combine like terms: -6y2 + 6y2 = 0 3x2 + 0 = 24 + 12y + 6y2 3x2 = 24 + 12y + 6y2 Divide each side by '3'. x2 = 8 + 4y + 2y2 Simplifying x2 = 8 + 4y + 2y2 Reorder the terms: -8 + x2 + -4y + -2y2 = 8 + 4y + 2y2 + -8 + -4y + -2y2 Reorder the terms: -8 + x2 + -4y + -2y2 = 8 + -8 + 4y + -4y + 2y2 + -2y2 Combine like terms: 8 + -8 = 0 -8 + x2 + -4y + -2y2 = 0 + 4y + -4y + 2y2 + -2y2 -8 + x2 + -4y + -2y2 = 4y + -4y + 2y2 + -2y2 Combine like terms: 4y + -4y = 0 -8 + x2 + -4y + -2y2 = 0 + 2y2 + -2y2 -8 + x2 + -4y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -8 + x2 + -4y + -2y2 = 0 The solution to this equation could not be determined.
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