5y^2+3x^2=15

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Solution for 5y^2+3x^2=15 equation: 


Simplifying
5y2 + 3x2 = 15

Reorder the terms:
3x2 + 5y2 = 15

Solving
3x2 + 5y2 = 15

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 = 15 + -5y2

Combine like terms: 5y2 + -5y2 = 0
3x2 + 0 = 15 + -5y2
3x2 = 15 + -5y2

Divide each side by '3'.
x2 = 5 + -1.666666667y2

Simplifying
x2 = 5 + -1.666666667y2

Reorder the terms:
-5 + x2 + 1.666666667y2 = 5 + -1.666666667y2 + -5 + 1.666666667y2

Reorder the terms:
-5 + x2 + 1.666666667y2 = 5 + -5 + -1.666666667y2 + 1.666666667y2

Combine like terms: 5 + -5 = 0
-5 + x2 + 1.666666667y2 = 0 + -1.666666667y2 + 1.666666667y2
-5 + x2 + 1.666666667y2 = -1.666666667y2 + 1.666666667y2

Combine like terms: -1.666666667y2 + 1.666666667y2 = 0.000000000
-5 + x2 + 1.666666667y2 = 0.000000000

The solution to this equation could not be determined.

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