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Simplifying 9x2 + 9y2 + z = 25 Solving 9x2 + 9y2 + z = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y2' to each side of the equation. 9x2 + 9y2 + -9y2 + z = 25 + -9y2 Combine like terms: 9y2 + -9y2 = 0 9x2 + 0 + z = 25 + -9y2 9x2 + z = 25 + -9y2 Add '-1z' to each side of the equation. 9x2 + z + -1z = 25 + -9y2 + -1z Combine like terms: z + -1z = 0 9x2 + 0 = 25 + -9y2 + -1z 9x2 = 25 + -9y2 + -1z Divide each side by '9'. x2 = 2.777777778 + -1y2 + -0.1111111111z Simplifying x2 = 2.777777778 + -1y2 + -0.1111111111z Reorder the terms: -2.777777778 + x2 + y2 + 0.1111111111z = 2.777777778 + -1y2 + -0.1111111111z + -2.777777778 + y2 + 0.1111111111z Reorder the terms: -2.777777778 + x2 + y2 + 0.1111111111z = 2.777777778 + -2.777777778 + -1y2 + y2 + -0.1111111111z + 0.1111111111z Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 -2.777777778 + x2 + y2 + 0.1111111111z = 0.000000000 + -1y2 + y2 + -0.1111111111z + 0.1111111111z -2.777777778 + x2 + y2 + 0.1111111111z = -1y2 + y2 + -0.1111111111z + 0.1111111111z Combine like terms: -1y2 + y2 = 0 -2.777777778 + x2 + y2 + 0.1111111111z = 0 + -0.1111111111z + 0.1111111111z -2.777777778 + x2 + y2 + 0.1111111111z = -0.1111111111z + 0.1111111111z Combine like terms: -0.1111111111z + 0.1111111111z = 0.0000000000 -2.777777778 + x2 + y2 + 0.1111111111z = 0.0000000000 The solution to this equation could not be determined.
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