3y^2-x^2-6=0

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Solution for 3y^2-x^2-6=0 equation:


Simplifying
3y2 + -1x2 + -6 = 0

Reorder the terms:
-6 + -1x2 + 3y2 = 0

Solving
-6 + -1x2 + 3y2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + -1x2 + 6 + 3y2 = 0 + 6

Reorder the terms:
-6 + 6 + -1x2 + 3y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x2 + 3y2 = 0 + 6
-1x2 + 3y2 = 0 + 6

Combine like terms: 0 + 6 = 6
-1x2 + 3y2 = 6

Add '-3y2' to each side of the equation.
-1x2 + 3y2 + -3y2 = 6 + -3y2

Combine like terms: 3y2 + -3y2 = 0
-1x2 + 0 = 6 + -3y2
-1x2 = 6 + -3y2

Divide each side by '-1'.
x2 = -6 + 3y2

Simplifying
x2 = -6 + 3y2

Reorder the terms:
6 + x2 + -3y2 = -6 + 3y2 + 6 + -3y2

Reorder the terms:
6 + x2 + -3y2 = -6 + 6 + 3y2 + -3y2

Combine like terms: -6 + 6 = 0
6 + x2 + -3y2 = 0 + 3y2 + -3y2
6 + x2 + -3y2 = 3y2 + -3y2

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

The solution to this equation could not be determined.

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