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Simplifying 9x2 + -1y2 + 8y + -52 = 0 Reorder the terms: -52 + 9x2 + 8y + -1y2 = 0 Solving -52 + 9x2 + 8y + -1y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 9x2 + 8y + 52 + -1y2 = 0 + 52 Reorder the terms: -52 + 52 + 9x2 + 8y + -1y2 = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 9x2 + 8y + -1y2 = 0 + 52 9x2 + 8y + -1y2 = 0 + 52 Combine like terms: 0 + 52 = 52 9x2 + 8y + -1y2 = 52 Add '-8y' to each side of the equation. 9x2 + 8y + -8y + -1y2 = 52 + -8y Combine like terms: 8y + -8y = 0 9x2 + 0 + -1y2 = 52 + -8y 9x2 + -1y2 = 52 + -8y Add 'y2' to each side of the equation. 9x2 + -1y2 + y2 = 52 + -8y + y2 Combine like terms: -1y2 + y2 = 0 9x2 + 0 = 52 + -8y + y2 9x2 = 52 + -8y + y2 Divide each side by '9'. x2 = 5.777777778 + -0.8888888889y + 0.1111111111y2 Simplifying x2 = 5.777777778 + -0.8888888889y + 0.1111111111y2 Reorder the terms: -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 5.777777778 + -0.8888888889y + 0.1111111111y2 + -5.777777778 + 0.8888888889y + -0.1111111111y2 Reorder the terms: -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 5.777777778 + -5.777777778 + -0.8888888889y + 0.8888888889y + 0.1111111111y2 + -0.1111111111y2 Combine like terms: 5.777777778 + -5.777777778 = 0.000000000 -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 0.000000000 + -0.8888888889y + 0.8888888889y + 0.1111111111y2 + -0.1111111111y2 -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = -0.8888888889y + 0.8888888889y + 0.1111111111y2 + -0.1111111111y2 Combine like terms: -0.8888888889y + 0.8888888889y = 0.0000000000 -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 0.0000000000 + 0.1111111111y2 + -0.1111111111y2 -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 0.1111111111y2 + -0.1111111111y2 Combine like terms: 0.1111111111y2 + -0.1111111111y2 = 0.0000000000 -5.777777778 + x2 + 0.8888888889y + -0.1111111111y2 = 0.0000000000 The solution to this equation could not be determined.
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