27x^2+9y^2=81

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Solution for 27x^2+9y^2=81 equation:


Simplifying
27x2 + 9y2 = 81

Solving
27x2 + 9y2 = 81

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.
27x2 + 9y2 + -9y2 = 81 + -9y2

Combine like terms: 9y2 + -9y2 = 0
27x2 + 0 = 81 + -9y2
27x2 = 81 + -9y2

Divide each side by '27'.
x2 = 3 + -0.3333333333y2

Simplifying
x2 = 3 + -0.3333333333y2

Reorder the terms:
-3 + x2 + 0.3333333333y2 = 3 + -0.3333333333y2 + -3 + 0.3333333333y2

Reorder the terms:
-3 + x2 + 0.3333333333y2 = 3 + -3 + -0.3333333333y2 + 0.3333333333y2

Combine like terms: 3 + -3 = 0
-3 + x2 + 0.3333333333y2 = 0 + -0.3333333333y2 + 0.3333333333y2
-3 + x2 + 0.3333333333y2 = -0.3333333333y2 + 0.3333333333y2

Combine like terms: -0.3333333333y2 + 0.3333333333y2 = 0.0000000000
-3 + x2 + 0.3333333333y2 = 0.0000000000

The solution to this equation could not be determined.

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