x^2-2y^2=3a+4b

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Solution for x^2-2y^2=3a+4b equation:


Simplifying
x2 + -2y2 = 3a + 4b

Solving
x2 + -2y2 = 3a + 4b

Solving for variable 'x'.

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

Add '2y2' to each side of the equation.
x2 + -2y2 + 2y2 = 3a + 4b + 2y2

Combine like terms: -2y2 + 2y2 = 0
x2 + 0 = 3a + 4b + 2y2
x2 = 3a + 4b + 2y2

Simplifying
x2 = 3a + 4b + 2y2

Reorder the terms:
-3a + -4b + x2 + -2y2 = 3a + 4b + 2y2 + -3a + -4b + -2y2

Reorder the terms:
-3a + -4b + x2 + -2y2 = 3a + -3a + 4b + -4b + 2y2 + -2y2

Combine like terms: 3a + -3a = 0
-3a + -4b + x2 + -2y2 = 0 + 4b + -4b + 2y2 + -2y2
-3a + -4b + x2 + -2y2 = 4b + -4b + 2y2 + -2y2

Combine like terms: 4b + -4b = 0
-3a + -4b + x2 + -2y2 = 0 + 2y2 + -2y2
-3a + -4b + x2 + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-3a + -4b + x2 + -2y2 = 0

The solution to this equation could not be determined.

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