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Simplifying 3x2 + -6y2 + 24y + -36 = 0 Reorder the terms: -36 + 3x2 + 24y + -6y2 = 0 Solving -36 + 3x2 + 24y + -6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 3x2 + 24y + 36 + -6y2 = 0 + 36 Reorder the terms: -36 + 36 + 3x2 + 24y + -6y2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 3x2 + 24y + -6y2 = 0 + 36 3x2 + 24y + -6y2 = 0 + 36 Combine like terms: 0 + 36 = 36 3x2 + 24y + -6y2 = 36 Add '-24y' to each side of the equation. 3x2 + 24y + -24y + -6y2 = 36 + -24y Combine like terms: 24y + -24y = 0 3x2 + 0 + -6y2 = 36 + -24y 3x2 + -6y2 = 36 + -24y Add '6y2' to each side of the equation. 3x2 + -6y2 + 6y2 = 36 + -24y + 6y2 Combine like terms: -6y2 + 6y2 = 0 3x2 + 0 = 36 + -24y + 6y2 3x2 = 36 + -24y + 6y2 Divide each side by '3'. x2 = 12 + -8y + 2y2 Simplifying x2 = 12 + -8y + 2y2 Reorder the terms: -12 + x2 + 8y + -2y2 = 12 + -8y + 2y2 + -12 + 8y + -2y2 Reorder the terms: -12 + x2 + 8y + -2y2 = 12 + -12 + -8y + 8y + 2y2 + -2y2 Combine like terms: 12 + -12 = 0 -12 + x2 + 8y + -2y2 = 0 + -8y + 8y + 2y2 + -2y2 -12 + x2 + 8y + -2y2 = -8y + 8y + 2y2 + -2y2 Combine like terms: -8y + 8y = 0 -12 + x2 + 8y + -2y2 = 0 + 2y2 + -2y2 -12 + x2 + 8y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -12 + x2 + 8y + -2y2 = 0 The solution to this equation could not be determined.
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