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Simplifying 9y2 + -16x2 + -18y + 9 = 0 Reorder the terms: 9 + -16x2 + -18y + 9y2 = 0 Solving 9 + -16x2 + -18y + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -16x2 + -18y + -9 + 9y2 = 0 + -9 Reorder the terms: 9 + -9 + -16x2 + -18y + 9y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16x2 + -18y + 9y2 = 0 + -9 -16x2 + -18y + 9y2 = 0 + -9 Combine like terms: 0 + -9 = -9 -16x2 + -18y + 9y2 = -9 Add '18y' to each side of the equation. -16x2 + -18y + 18y + 9y2 = -9 + 18y Combine like terms: -18y + 18y = 0 -16x2 + 0 + 9y2 = -9 + 18y -16x2 + 9y2 = -9 + 18y Add '-9y2' to each side of the equation. -16x2 + 9y2 + -9y2 = -9 + 18y + -9y2 Combine like terms: 9y2 + -9y2 = 0 -16x2 + 0 = -9 + 18y + -9y2 -16x2 = -9 + 18y + -9y2 Divide each side by '-16'. x2 = 0.5625 + -1.125y + 0.5625y2 Simplifying x2 = 0.5625 + -1.125y + 0.5625y2 Reorder the terms: -0.5625 + x2 + 1.125y + -0.5625y2 = 0.5625 + -1.125y + 0.5625y2 + -0.5625 + 1.125y + -0.5625y2 Reorder the terms: -0.5625 + x2 + 1.125y + -0.5625y2 = 0.5625 + -0.5625 + -1.125y + 1.125y + 0.5625y2 + -0.5625y2 Combine like terms: 0.5625 + -0.5625 = 0.0000 -0.5625 + x2 + 1.125y + -0.5625y2 = 0.0000 + -1.125y + 1.125y + 0.5625y2 + -0.5625y2 -0.5625 + x2 + 1.125y + -0.5625y2 = -1.125y + 1.125y + 0.5625y2 + -0.5625y2 Combine like terms: -1.125y + 1.125y = 0.000 -0.5625 + x2 + 1.125y + -0.5625y2 = 0.000 + 0.5625y2 + -0.5625y2 -0.5625 + x2 + 1.125y + -0.5625y2 = 0.5625y2 + -0.5625y2 Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000 -0.5625 + x2 + 1.125y + -0.5625y2 = 0.0000 The solution to this equation could not be determined.
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