X^2+4y+2y^2-6=0

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Solution for X^2+4y+2y^2-6=0 equation:


Simplifying
X2 + 4y + 2y2 + -6 = 0

Reorder the terms:
-6 + X2 + 4y + 2y2 = 0

Solving
-6 + X2 + 4y + 2y2 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X2 + 4y + 6 + 2y2 = 0 + 6

Reorder the terms:
-6 + 6 + X2 + 4y + 2y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X2 + 4y + 2y2 = 0 + 6
X2 + 4y + 2y2 = 0 + 6

Combine like terms: 0 + 6 = 6
X2 + 4y + 2y2 = 6

Add '-4y' to each side of the equation.
X2 + 4y + -4y + 2y2 = 6 + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + 2y2 = 6 + -4y
X2 + 2y2 = 6 + -4y

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = 6 + -4y + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = 6 + -4y + -2y2
X2 = 6 + -4y + -2y2

Simplifying
X2 = 6 + -4y + -2y2

Reorder the terms:
-6 + X2 + 4y + 2y2 = 6 + -4y + -2y2 + -6 + 4y + 2y2

Reorder the terms:
-6 + X2 + 4y + 2y2 = 6 + -6 + -4y + 4y + -2y2 + 2y2

Combine like terms: 6 + -6 = 0
-6 + X2 + 4y + 2y2 = 0 + -4y + 4y + -2y2 + 2y2
-6 + X2 + 4y + 2y2 = -4y + 4y + -2y2 + 2y2

Combine like terms: -4y + 4y = 0
-6 + X2 + 4y + 2y2 = 0 + -2y2 + 2y2
-6 + X2 + 4y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-6 + X2 + 4y + 2y2 = 0

The solution to this equation could not be determined.

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