9x^2-4y^2=6

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Solution for 9x^2-4y^2=6 equation:


Simplifying
9x2 + -4y2 = 6

Solving
9x2 + -4y2 = 6

Solving for variable 'x'.

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

Add '4y2' to each side of the equation.
9x2 + -4y2 + 4y2 = 6 + 4y2

Combine like terms: -4y2 + 4y2 = 0
9x2 + 0 = 6 + 4y2
9x2 = 6 + 4y2

Divide each side by '9'.
x2 = 0.6666666667 + 0.4444444444y2

Simplifying
x2 = 0.6666666667 + 0.4444444444y2

Reorder the terms:
-0.6666666667 + x2 + -0.4444444444y2 = 0.6666666667 + 0.4444444444y2 + -0.6666666667 + -0.4444444444y2

Reorder the terms:
-0.6666666667 + x2 + -0.4444444444y2 = 0.6666666667 + -0.6666666667 + 0.4444444444y2 + -0.4444444444y2

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
-0.6666666667 + x2 + -0.4444444444y2 = 0.0000000000 + 0.4444444444y2 + -0.4444444444y2
-0.6666666667 + x2 + -0.4444444444y2 = 0.4444444444y2 + -0.4444444444y2

Combine like terms: 0.4444444444y2 + -0.4444444444y2 = 0.0000000000
-0.6666666667 + x2 + -0.4444444444y2 = 0.0000000000

The solution to this equation could not be determined.

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