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Simplifying 4y2 + 9x2 + -8y + 36 + 4 = 0 Reorder the terms: 36 + 4 + 9x2 + -8y + 4y2 = 0 Combine like terms: 36 + 4 = 40 40 + 9x2 + -8y + 4y2 = 0 Solving 40 + 9x2 + -8y + 4y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 9x2 + -8y + -40 + 4y2 = 0 + -40 Reorder the terms: 40 + -40 + 9x2 + -8y + 4y2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 9x2 + -8y + 4y2 = 0 + -40 9x2 + -8y + 4y2 = 0 + -40 Combine like terms: 0 + -40 = -40 9x2 + -8y + 4y2 = -40 Add '8y' to each side of the equation. 9x2 + -8y + 8y + 4y2 = -40 + 8y Combine like terms: -8y + 8y = 0 9x2 + 0 + 4y2 = -40 + 8y 9x2 + 4y2 = -40 + 8y Add '-4y2' to each side of the equation. 9x2 + 4y2 + -4y2 = -40 + 8y + -4y2 Combine like terms: 4y2 + -4y2 = 0 9x2 + 0 = -40 + 8y + -4y2 9x2 = -40 + 8y + -4y2 Divide each side by '9'. x2 = -4.444444444 + 0.8888888889y + -0.4444444444y2 Simplifying x2 = -4.444444444 + 0.8888888889y + -0.4444444444y2 Reorder the terms: 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = -4.444444444 + 0.8888888889y + -0.4444444444y2 + 4.444444444 + -0.8888888889y + 0.4444444444y2 Reorder the terms: 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = -4.444444444 + 4.444444444 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: -4.444444444 + 4.444444444 = 0.000000000 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = 0.000000000 + 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = 0.8888888889y + -0.8888888889y + -0.4444444444y2 + 0.4444444444y2 Combine like terms: 0.8888888889y + -0.8888888889y = 0.0000000000 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000 + -0.4444444444y2 + 0.4444444444y2 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = -0.4444444444y2 + 0.4444444444y2 Combine like terms: -0.4444444444y2 + 0.4444444444y2 = 0.0000000000 4.444444444 + x2 + -0.8888888889y + 0.4444444444y2 = 0.0000000000 The solution to this equation could not be determined.
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