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Simplifying 4x2 + -9y2 + 16X + 18y + -29 = 0 Reorder the terms: -29 + 16X + 4x2 + 18y + -9y2 = 0 Solving -29 + 16X + 4x2 + 18y + -9y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 16X + 4x2 + 18y + 29 + -9y2 = 0 + 29 Reorder the terms: -29 + 29 + 16X + 4x2 + 18y + -9y2 = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 16X + 4x2 + 18y + -9y2 = 0 + 29 16X + 4x2 + 18y + -9y2 = 0 + 29 Combine like terms: 0 + 29 = 29 16X + 4x2 + 18y + -9y2 = 29 Add '-4x2' to each side of the equation. 16X + 4x2 + 18y + -4x2 + -9y2 = 29 + -4x2 Reorder the terms: 16X + 4x2 + -4x2 + 18y + -9y2 = 29 + -4x2 Combine like terms: 4x2 + -4x2 = 0 16X + 0 + 18y + -9y2 = 29 + -4x2 16X + 18y + -9y2 = 29 + -4x2 Add '-18y' to each side of the equation. 16X + 18y + -18y + -9y2 = 29 + -4x2 + -18y Combine like terms: 18y + -18y = 0 16X + 0 + -9y2 = 29 + -4x2 + -18y 16X + -9y2 = 29 + -4x2 + -18y Add '9y2' to each side of the equation. 16X + -9y2 + 9y2 = 29 + -4x2 + -18y + 9y2 Combine like terms: -9y2 + 9y2 = 0 16X + 0 = 29 + -4x2 + -18y + 9y2 16X = 29 + -4x2 + -18y + 9y2 Divide each side by '16'. X = 1.8125 + -0.25x2 + -1.125y + 0.5625y2 Simplifying X = 1.8125 + -0.25x2 + -1.125y + 0.5625y2
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