3x^2+5y^2=45

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Solution for 3x^2+5y^2=45 equation: 


Simplifying
3x2 + 5y2 = 45

Solving
3x2 + 5y2 = 45

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 = 45 + -5y2

Combine like terms: 5y2 + -5y2 = 0
3x2 + 0 = 45 + -5y2
3x2 = 45 + -5y2

Divide each side by '3'.
x2 = 15 + -1.666666667y2

Simplifying
x2 = 15 + -1.666666667y2

Reorder the terms:
-15 + x2 + 1.666666667y2 = 15 + -1.666666667y2 + -15 + 1.666666667y2

Reorder the terms:
-15 + x2 + 1.666666667y2 = 15 + -15 + -1.666666667y2 + 1.666666667y2

Combine like terms: 15 + -15 = 0
-15 + x2 + 1.666666667y2 = 0 + -1.666666667y2 + 1.666666667y2
-15 + x2 + 1.666666667y2 = -1.666666667y2 + 1.666666667y2

Combine like terms: -1.666666667y2 + 1.666666667y2 = 0.000000000
-15 + x2 + 1.666666667y2 = 0.000000000

The solution to this equation could not be determined.

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