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Simplifying 16x2 + -9y2 + 18y + 135 = 0 Reorder the terms: 135 + 16x2 + 18y + -9y2 = 0 Solving 135 + 16x2 + 18y + -9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + 16x2 + 18y + -135 + -9y2 = 0 + -135 Reorder the terms: 135 + -135 + 16x2 + 18y + -9y2 = 0 + -135 Combine like terms: 135 + -135 = 0 0 + 16x2 + 18y + -9y2 = 0 + -135 16x2 + 18y + -9y2 = 0 + -135 Combine like terms: 0 + -135 = -135 16x2 + 18y + -9y2 = -135 Add '-18y' to each side of the equation. 16x2 + 18y + -18y + -9y2 = -135 + -18y Combine like terms: 18y + -18y = 0 16x2 + 0 + -9y2 = -135 + -18y 16x2 + -9y2 = -135 + -18y Add '9y2' to each side of the equation. 16x2 + -9y2 + 9y2 = -135 + -18y + 9y2 Combine like terms: -9y2 + 9y2 = 0 16x2 + 0 = -135 + -18y + 9y2 16x2 = -135 + -18y + 9y2 Divide each side by '16'. x2 = -8.4375 + -1.125y + 0.5625y2 Simplifying x2 = -8.4375 + -1.125y + 0.5625y2 Reorder the terms: 8.4375 + x2 + 1.125y + -0.5625y2 = -8.4375 + -1.125y + 0.5625y2 + 8.4375 + 1.125y + -0.5625y2 Reorder the terms: 8.4375 + x2 + 1.125y + -0.5625y2 = -8.4375 + 8.4375 + -1.125y + 1.125y + 0.5625y2 + -0.5625y2 Combine like terms: -8.4375 + 8.4375 = 0.0000 8.4375 + x2 + 1.125y + -0.5625y2 = 0.0000 + -1.125y + 1.125y + 0.5625y2 + -0.5625y2 8.4375 + x2 + 1.125y + -0.5625y2 = -1.125y + 1.125y + 0.5625y2 + -0.5625y2 Combine like terms: -1.125y + 1.125y = 0.000 8.4375 + x2 + 1.125y + -0.5625y2 = 0.000 + 0.5625y2 + -0.5625y2 8.4375 + x2 + 1.125y + -0.5625y2 = 0.5625y2 + -0.5625y2 Combine like terms: 0.5625y2 + -0.5625y2 = 0.0000 8.4375 + x2 + 1.125y + -0.5625y2 = 0.0000 The solution to this equation could not be determined.
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