3x^2+2y^2=30

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Solution for 3x^2+2y^2=30 equation:


Simplifying
3x2 + 2y2 = 30

Solving
3x2 + 2y2 = 30

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.
3x2 + 2y2 + -2y2 = 30 + -2y2

Combine like terms: 2y2 + -2y2 = 0
3x2 + 0 = 30 + -2y2
3x2 = 30 + -2y2

Divide each side by '3'.
x2 = 10 + -0.6666666667y2

Simplifying
x2 = 10 + -0.6666666667y2

Reorder the terms:
-10 + x2 + 0.6666666667y2 = 10 + -0.6666666667y2 + -10 + 0.6666666667y2

Reorder the terms:
-10 + x2 + 0.6666666667y2 = 10 + -10 + -0.6666666667y2 + 0.6666666667y2

Combine like terms: 10 + -10 = 0
-10 + x2 + 0.6666666667y2 = 0 + -0.6666666667y2 + 0.6666666667y2
-10 + x2 + 0.6666666667y2 = -0.6666666667y2 + 0.6666666667y2

Combine like terms: -0.6666666667y2 + 0.6666666667y2 = 0.0000000000
-10 + x2 + 0.6666666667y2 = 0.0000000000

The solution to this equation could not be determined.

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