6x^2-8y^2=72

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Solution for 6x^2-8y^2=72 equation:


Simplifying
6x2 + -8y2 = 72

Solving
6x2 + -8y2 = 72

Solving for variable 'x'.

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

Add '8y2' to each side of the equation.
6x2 + -8y2 + 8y2 = 72 + 8y2

Combine like terms: -8y2 + 8y2 = 0
6x2 + 0 = 72 + 8y2
6x2 = 72 + 8y2

Divide each side by '6'.
x2 = 12 + 1.333333333y2

Simplifying
x2 = 12 + 1.333333333y2

Reorder the terms:
-12 + x2 + -1.333333333y2 = 12 + 1.333333333y2 + -12 + -1.333333333y2

Reorder the terms:
-12 + x2 + -1.333333333y2 = 12 + -12 + 1.333333333y2 + -1.333333333y2

Combine like terms: 12 + -12 = 0
-12 + x2 + -1.333333333y2 = 0 + 1.333333333y2 + -1.333333333y2
-12 + x2 + -1.333333333y2 = 1.333333333y2 + -1.333333333y2

Combine like terms: 1.333333333y2 + -1.333333333y2 = 0.000000000
-12 + x2 + -1.333333333y2 = 0.000000000

The solution to this equation could not be determined.

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