x^2-2y^2-y=3y+2

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


Simplifying
x2 + -2y2 + -1y = 3y + 2

Reorder the terms:
x2 + -1y + -2y2 = 3y + 2

Reorder the terms:
x2 + -1y + -2y2 = 2 + 3y

Solving
x2 + -1y + -2y2 = 2 + 3y

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
x2 + -1y + y + -2y2 = 2 + 3y + y

Combine like terms: -1y + y = 0
x2 + 0 + -2y2 = 2 + 3y + y
x2 + -2y2 = 2 + 3y + y

Combine like terms: 3y + y = 4y
x2 + -2y2 = 2 + 4y

Add '2y2' to each side of the equation.
x2 + -2y2 + 2y2 = 2 + 4y + 2y2

Combine like terms: -2y2 + 2y2 = 0
x2 + 0 = 2 + 4y + 2y2
x2 = 2 + 4y + 2y2

Simplifying
x2 = 2 + 4y + 2y2

Reorder the terms:
-2 + x2 + -4y + -2y2 = 2 + 4y + 2y2 + -2 + -4y + -2y2

Reorder the terms:
-2 + x2 + -4y + -2y2 = 2 + -2 + 4y + -4y + 2y2 + -2y2

Combine like terms: 2 + -2 = 0
-2 + x2 + -4y + -2y2 = 0 + 4y + -4y + 2y2 + -2y2
-2 + x2 + -4y + -2y2 = 4y + -4y + 2y2 + -2y2

Combine like terms: 4y + -4y = 0
-2 + x2 + -4y + -2y2 = 0 + 2y2 + -2y2
-2 + x2 + -4y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-2 + x2 + -4y + -2y2 = 0

The solution to this equation could not be determined.

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