5x^2-2y^2=9

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Solution for 5x^2-2y^2=9 equation:


Simplifying
5x2 + -2y2 = 9

Solving
5x2 + -2y2 = 9

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.
5x2 + -2y2 + 2y2 = 9 + 2y2

Combine like terms: -2y2 + 2y2 = 0
5x2 + 0 = 9 + 2y2
5x2 = 9 + 2y2

Divide each side by '5'.
x2 = 1.8 + 0.4y2

Simplifying
x2 = 1.8 + 0.4y2

Reorder the terms:
-1.8 + x2 + -0.4y2 = 1.8 + 0.4y2 + -1.8 + -0.4y2

Reorder the terms:
-1.8 + x2 + -0.4y2 = 1.8 + -1.8 + 0.4y2 + -0.4y2

Combine like terms: 1.8 + -1.8 = 0.0
-1.8 + x2 + -0.4y2 = 0.0 + 0.4y2 + -0.4y2
-1.8 + x2 + -0.4y2 = 0.4y2 + -0.4y2

Combine like terms: 0.4y2 + -0.4y2 = 0.0
-1.8 + x2 + -0.4y2 = 0.0

The solution to this equation could not be determined.

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