X^2+3y^2+2y=6

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Solution for X^2+3y^2+2y=6 equation:


Simplifying
X2 + 3y2 + 2y = 6

Reorder the terms:
X2 + 2y + 3y2 = 6

Solving
X2 + 2y + 3y2 = 6

Solving for variable 'X'.

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

Add '-2y' to each side of the equation.
X2 + 2y + -2y + 3y2 = 6 + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + 3y2 = 6 + -2y
X2 + 3y2 = 6 + -2y

Add '-3y2' to each side of the equation.
X2 + 3y2 + -3y2 = 6 + -2y + -3y2

Combine like terms: 3y2 + -3y2 = 0
X2 + 0 = 6 + -2y + -3y2
X2 = 6 + -2y + -3y2

Simplifying
X2 = 6 + -2y + -3y2

Reorder the terms:
-6 + X2 + 2y + 3y2 = 6 + -2y + -3y2 + -6 + 2y + 3y2

Reorder the terms:
-6 + X2 + 2y + 3y2 = 6 + -6 + -2y + 2y + -3y2 + 3y2

Combine like terms: 6 + -6 = 0
-6 + X2 + 2y + 3y2 = 0 + -2y + 2y + -3y2 + 3y2
-6 + X2 + 2y + 3y2 = -2y + 2y + -3y2 + 3y2

Combine like terms: -2y + 2y = 0
-6 + X2 + 2y + 3y2 = 0 + -3y2 + 3y2
-6 + X2 + 2y + 3y2 = -3y2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
-6 + X2 + 2y + 3y2 = 0

The solution to this equation could not be determined.

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