7x^2-3y^2-37=0

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Solution for 7x^2-3y^2-37=0 equation:


Simplifying
7x2 + -3y2 + -37 = 0

Reorder the terms:
-37 + 7x2 + -3y2 = 0

Solving
-37 + 7x2 + -3y2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 7x2 + 37 + -3y2 = 0 + 37

Reorder the terms:
-37 + 37 + 7x2 + -3y2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 7x2 + -3y2 = 0 + 37
7x2 + -3y2 = 0 + 37

Combine like terms: 0 + 37 = 37
7x2 + -3y2 = 37

Add '3y2' to each side of the equation.
7x2 + -3y2 + 3y2 = 37 + 3y2

Combine like terms: -3y2 + 3y2 = 0
7x2 + 0 = 37 + 3y2
7x2 = 37 + 3y2

Divide each side by '7'.
x2 = 5.285714286 + 0.4285714286y2

Simplifying
x2 = 5.285714286 + 0.4285714286y2

Reorder the terms:
-5.285714286 + x2 + -0.4285714286y2 = 5.285714286 + 0.4285714286y2 + -5.285714286 + -0.4285714286y2

Reorder the terms:
-5.285714286 + x2 + -0.4285714286y2 = 5.285714286 + -5.285714286 + 0.4285714286y2 + -0.4285714286y2

Combine like terms: 5.285714286 + -5.285714286 = 0.000000000
-5.285714286 + x2 + -0.4285714286y2 = 0.000000000 + 0.4285714286y2 + -0.4285714286y2
-5.285714286 + x2 + -0.4285714286y2 = 0.4285714286y2 + -0.4285714286y2

Combine like terms: 0.4285714286y2 + -0.4285714286y2 = 0.0000000000
-5.285714286 + x2 + -0.4285714286y2 = 0.0000000000

The solution to this equation could not be determined.

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