3x^2+y^2=21

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Solution for 3x^2+y^2=21 equation:


Simplifying
3x2 + y2 = 21

Solving
3x2 + y2 = 21

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
3x2 + y2 + -1y2 = 21 + -1y2

Combine like terms: y2 + -1y2 = 0
3x2 + 0 = 21 + -1y2
3x2 = 21 + -1y2

Divide each side by '3'.
x2 = 7 + -0.3333333333y2

Simplifying
x2 = 7 + -0.3333333333y2

Reorder the terms:
-7 + x2 + 0.3333333333y2 = 7 + -0.3333333333y2 + -7 + 0.3333333333y2

Reorder the terms:
-7 + x2 + 0.3333333333y2 = 7 + -7 + -0.3333333333y2 + 0.3333333333y2

Combine like terms: 7 + -7 = 0
-7 + x2 + 0.3333333333y2 = 0 + -0.3333333333y2 + 0.3333333333y2
-7 + x2 + 0.3333333333y2 = -0.3333333333y2 + 0.3333333333y2

Combine like terms: -0.3333333333y2 + 0.3333333333y2 = 0.0000000000
-7 + x2 + 0.3333333333y2 = 0.0000000000

The solution to this equation could not be determined.

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