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Simplifying -1y2 + 9x2 + -8y + -16 = 0 Reorder the terms: -16 + 9x2 + -8y + -1y2 = 0 Solving -16 + 9x2 + -8y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 9x2 + -8y + 16 + -1y2 = 0 + 16 Reorder the terms: -16 + 16 + 9x2 + -8y + -1y2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 9x2 + -8y + -1y2 = 0 + 16 9x2 + -8y + -1y2 = 0 + 16 Combine like terms: 0 + 16 = 16 9x2 + -8y + -1y2 = 16 Add '8y' to each side of the equation. 9x2 + -8y + 8y + -1y2 = 16 + 8y Combine like terms: -8y + 8y = 0 9x2 + 0 + -1y2 = 16 + 8y 9x2 + -1y2 = 16 + 8y Add 'y2' to each side of the equation. 9x2 + -1y2 + y2 = 16 + 8y + y2 Combine like terms: -1y2 + y2 = 0 9x2 + 0 = 16 + 8y + y2 9x2 = 16 + 8y + y2 Divide each side by '9'. x2 = 1.777777778 + 0.8888888889y + 0.1111111111y2 Simplifying x2 = 1.777777778 + 0.8888888889y + 0.1111111111y2 Reorder the terms: -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 1.777777778 + 0.8888888889y + 0.1111111111y2 + -1.777777778 + -0.8888888889y + -0.1111111111y2 Reorder the terms: -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 1.777777778 + -1.777777778 + 0.8888888889y + -0.8888888889y + 0.1111111111y2 + -0.1111111111y2 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 0.000000000 + 0.8888888889y + -0.8888888889y + 0.1111111111y2 + -0.1111111111y2 -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 0.8888888889y + -0.8888888889y + 0.1111111111y2 + -0.1111111111y2 Combine like terms: 0.8888888889y + -0.8888888889y = 0.0000000000 -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 0.0000000000 + 0.1111111111y2 + -0.1111111111y2 -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 0.1111111111y2 + -0.1111111111y2 Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000 -1.777777778 + x2 + -0.8888888889y + -0.1111111111y2 = 0.0000000000 The solution to this equation could not be determined.
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