5x^2-3y^2=2

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Solution for 5x^2-3y^2=2 equation:


Simplifying
5x2 + -3y2 = 2

Solving
5x2 + -3y2 = 2

Solving for variable 'x'.

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

Add '3y2' to each side of the equation.
5x2 + -3y2 + 3y2 = 2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
5x2 + 0 = 2 + 3y2
5x2 = 2 + 3y2

Divide each side by '5'.
x2 = 0.4 + 0.6y2

Simplifying
x2 = 0.4 + 0.6y2

Reorder the terms:
-0.4 + x2 + -0.6y2 = 0.4 + 0.6y2 + -0.4 + -0.6y2

Reorder the terms:
-0.4 + x2 + -0.6y2 = 0.4 + -0.4 + 0.6y2 + -0.6y2

Combine like terms: 0.4 + -0.4 = 0.0
-0.4 + x2 + -0.6y2 = 0.0 + 0.6y2 + -0.6y2
-0.4 + x2 + -0.6y2 = 0.6y2 + -0.6y2

Combine like terms: 0.6y2 + -0.6y2 = 0.0
-0.4 + x2 + -0.6y2 = 0.0

The solution to this equation could not be determined.

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