5x^2-3y^2=30

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Solution for 5x^2-3y^2=30 equation:


Simplifying
5x2 + -3y2 = 30

Solving
5x2 + -3y2 = 30

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 = 30 + 3y2

Combine like terms: -3y2 + 3y2 = 0
5x2 + 0 = 30 + 3y2
5x2 = 30 + 3y2

Divide each side by '5'.
x2 = 6 + 0.6y2

Simplifying
x2 = 6 + 0.6y2

Reorder the terms:
-6 + x2 + -0.6y2 = 6 + 0.6y2 + -6 + -0.6y2

Reorder the terms:
-6 + x2 + -0.6y2 = 6 + -6 + 0.6y2 + -0.6y2

Combine like terms: 6 + -6 = 0
-6 + x2 + -0.6y2 = 0 + 0.6y2 + -0.6y2
-6 + x2 + -0.6y2 = 0.6y2 + -0.6y2

Combine like terms: 0.6y2 + -0.6y2 = 0.0
-6 + x2 + -0.6y2 = 0.0

The solution to this equation could not be determined.

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