3x^2-5y^2=30

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


Simplifying
3x2 + -5y2 = 30

Solving
3x2 + -5y2 = 30

Solving for variable 'x'.

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

Add '5y2' to each side of the equation.
3x2 + -5y2 + 5y2 = 30 + 5y2

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

Divide each side by '3'.
x2 = 10 + 1.666666667y2

Simplifying
x2 = 10 + 1.666666667y2

Reorder the terms:
-10 + x2 + -1.666666667y2 = 10 + 1.666666667y2 + -10 + -1.666666667y2

Reorder the terms:
-10 + x2 + -1.666666667y2 = 10 + -10 + 1.666666667y2 + -1.666666667y2

Combine like terms: 10 + -10 = 0
-10 + x2 + -1.666666667y2 = 0 + 1.666666667y2 + -1.666666667y2
-10 + x2 + -1.666666667y2 = 1.666666667y2 + -1.666666667y2

Combine like terms: 1.666666667y2 + -1.666666667y2 = 0.000000000
-10 + x2 + -1.666666667y2 = 0.000000000

The solution to this equation could not be determined.

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