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Simplifying 16x2 + 9y2 + 36y + -108 = 0 Reorder the terms: -108 + 16x2 + 36y + 9y2 = 0 Solving -108 + 16x2 + 36y + 9y2 = 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 + 16x2 + 36y + 108 + 9y2 = 0 + 108 Reorder the terms: -108 + 108 + 16x2 + 36y + 9y2 = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 16x2 + 36y + 9y2 = 0 + 108 16x2 + 36y + 9y2 = 0 + 108 Combine like terms: 0 + 108 = 108 16x2 + 36y + 9y2 = 108 Add '-36y' to each side of the equation. 16x2 + 36y + -36y + 9y2 = 108 + -36y Combine like terms: 36y + -36y = 0 16x2 + 0 + 9y2 = 108 + -36y 16x2 + 9y2 = 108 + -36y Add '-9y2' to each side of the equation. 16x2 + 9y2 + -9y2 = 108 + -36y + -9y2 Combine like terms: 9y2 + -9y2 = 0 16x2 + 0 = 108 + -36y + -9y2 16x2 = 108 + -36y + -9y2 Divide each side by '16'. x2 = 6.75 + -2.25y + -0.5625y2 Simplifying x2 = 6.75 + -2.25y + -0.5625y2 Reorder the terms: -6.75 + x2 + 2.25y + 0.5625y2 = 6.75 + -2.25y + -0.5625y2 + -6.75 + 2.25y + 0.5625y2 Reorder the terms: -6.75 + x2 + 2.25y + 0.5625y2 = 6.75 + -6.75 + -2.25y + 2.25y + -0.5625y2 + 0.5625y2 Combine like terms: 6.75 + -6.75 = 0.00 -6.75 + x2 + 2.25y + 0.5625y2 = 0.00 + -2.25y + 2.25y + -0.5625y2 + 0.5625y2 -6.75 + x2 + 2.25y + 0.5625y2 = -2.25y + 2.25y + -0.5625y2 + 0.5625y2 Combine like terms: -2.25y + 2.25y = 0.00 -6.75 + x2 + 2.25y + 0.5625y2 = 0.00 + -0.5625y2 + 0.5625y2 -6.75 + x2 + 2.25y + 0.5625y2 = -0.5625y2 + 0.5625y2 Combine like terms: -0.5625y2 + 0.5625y2 = 0.0000 -6.75 + x2 + 2.25y + 0.5625y2 = 0.0000 The solution to this equation could not be determined.
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