y^2-3x^2=27

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Solution for y^2-3x^2=27 equation:


Simplifying
y2 + -3x2 = 27

Reorder the terms:
-3x2 + y2 = 27

Solving
-3x2 + y2 = 27

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y2' to each side of the equation.
-3x2 + y2 + -1y2 = 27 + -1y2

Combine like terms: y2 + -1y2 = 0
-3x2 + 0 = 27 + -1y2
-3x2 = 27 + -1y2

Divide each side by '-3'.
x2 = -9 + 0.3333333333y2

Simplifying
x2 = -9 + 0.3333333333y2

Reorder the terms:
9 + x2 + -0.3333333333y2 = -9 + 0.3333333333y2 + 9 + -0.3333333333y2

Reorder the terms:
9 + x2 + -0.3333333333y2 = -9 + 9 + 0.3333333333y2 + -0.3333333333y2

Combine like terms: -9 + 9 = 0
9 + x2 + -0.3333333333y2 = 0 + 0.3333333333y2 + -0.3333333333y2
9 + x2 + -0.3333333333y2 = 0.3333333333y2 + -0.3333333333y2

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

The solution to this equation could not be determined.

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