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Simplifying 4x2 + 36y2 + -72y + -108 = 0 Reorder the terms: -108 + 4x2 + -72y + 36y2 = 0 Solving -108 + 4x2 + -72y + 36y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 4x2 + -72y + 108 + 36y2 = 0 + 108 Reorder the terms: -108 + 108 + 4x2 + -72y + 36y2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 4x2 + -72y + 36y2 = 0 + 108 4x2 + -72y + 36y2 = 0 + 108 Combine like terms: 0 + 108 = 108 4x2 + -72y + 36y2 = 108 Add '72y' to each side of the equation. 4x2 + -72y + 72y + 36y2 = 108 + 72y Combine like terms: -72y + 72y = 0 4x2 + 0 + 36y2 = 108 + 72y 4x2 + 36y2 = 108 + 72y Add '-36y2' to each side of the equation. 4x2 + 36y2 + -36y2 = 108 + 72y + -36y2 Combine like terms: 36y2 + -36y2 = 0 4x2 + 0 = 108 + 72y + -36y2 4x2 = 108 + 72y + -36y2 Divide each side by '4'. x2 = 27 + 18y + -9y2 Simplifying x2 = 27 + 18y + -9y2 Reorder the terms: -27 + x2 + -18y + 9y2 = 27 + 18y + -9y2 + -27 + -18y + 9y2 Reorder the terms: -27 + x2 + -18y + 9y2 = 27 + -27 + 18y + -18y + -9y2 + 9y2 Combine like terms: 27 + -27 = 0 -27 + x2 + -18y + 9y2 = 0 + 18y + -18y + -9y2 + 9y2 -27 + x2 + -18y + 9y2 = 18y + -18y + -9y2 + 9y2 Combine like terms: 18y + -18y = 0 -27 + x2 + -18y + 9y2 = 0 + -9y2 + 9y2 -27 + x2 + -18y + 9y2 = -9y2 + 9y2 Combine like terms: -9y2 + 9y2 = 0 -27 + x2 + -18y + 9y2 = 0 The solution to this equation could not be determined.
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