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Simplifying 9x2 + 4y2 + -8y + -36 = 0 Reorder the terms: -36 + 9x2 + -8y + 4y2 = 0 Solving -36 + 9x2 + -8y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 9x2 + -8y + 36 + 4y2 = 0 + 36 Reorder the terms: -36 + 36 + 9x2 + -8y + 4y2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 9x2 + -8y + 4y2 = 0 + 36 9x2 + -8y + 4y2 = 0 + 36 Combine like terms: 0 + 36 = 36 9x2 + -8y + 4y2 = 36 Add '8y' to each side of the equation. 9x2 + -8y + 8y + 4y2 = 36 + 8y Combine like terms: -8y + 8y = 0 9x2 + 0 + 4y2 = 36 + 8y 9x2 + 4y2 = 36 + 8y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = 36 + 8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = 36 + 8y + -4y2 9x2 = 36 + 8y + -4y2 Divide each side by '9'. x2 = 4 + 0.8888888889y + -0.4444444444y2 Simplifying x2 = 4 + 0.8888888889y + -0.4444444444y2 Reorder the terms: -4 + x2 + -0.8888888889y + 0.4444444444y2 = 4 + 0.8888888889y + -0.4444444444y2 + -4 + -0.8888888889y + 0.4444444444y2 Reorder the terms: -4 + x2 + -0.8888888889y + 0.4444444444y2 = 4 + -4 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 4 + -4 = 0 -4 + x2 + -0.8888888889y + 0.4444444444y2 = 0 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 -4 + x2 + -0.8888888889y + 0.4444444444y2 = 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 0.8888888889y + -0.8888888889y = 0.0000000000 -4 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2 -4 + x2 + -0.8888888889y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 -4 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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