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Simplifying 9x2 + 4y2 + -4y + -8 = 0 Reorder the terms: -8 + 9x2 + -4y + 4y2 = 0 Solving -8 + 9x2 + -4y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 9x2 + -4y + 8 + 4y2 = 0 + 8 Reorder the terms: -8 + 8 + 9x2 + -4y + 4y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9x2 + -4y + 4y2 = 0 + 8 9x2 + -4y + 4y2 = 0 + 8 Combine like terms: 0 + 8 = 8 9x2 + -4y + 4y2 = 8 Add '4y' to each side of the equation. 9x2 + -4y + 4y + 4y2 = 8 + 4y Combine like terms: -4y + 4y = 0 9x2 + 0 + 4y2 = 8 + 4y 9x2 + 4y2 = 8 + 4y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = 8 + 4y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = 8 + 4y + -4y2 9x2 = 8 + 4y + -4y2 Divide each side by '9'. x2 = 0.8888888889 + 0.4444444444y + -0.4444444444y2 Simplifying x2 = 0.8888888889 + 0.4444444444y + -0.4444444444y2 Reorder the terms: -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.8888888889 + 0.4444444444y + -0.4444444444y2 + -0.8888888889 + -0.4444444444y + 0.4444444444y2 Reorder the terms: -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.8888888889 + -0.8888888889 + 0.4444444444y + -0.4444444444y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.0000000000 + 0.4444444444y + -0.4444444444y + -0.4444444444y2 + 0.4444444444y2 -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.4444444444y + -0.4444444444y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 0.4444444444y + -0.4444444444y = 0.0000000000 -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2 -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -0.8888888889 + x2 + -0.4444444444y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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