X+2y-1=2y^2+3xy+1

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Solution for X+2y-1=2y^2+3xy+1 equation: 


Simplifying
X + 2y + -1 = 2y2 + 3xy + 1

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

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

Solving
-1 + X + 2y = 1 + 3xy + 2y2

Solving for variable 'X'.

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

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

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

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

Reorder the terms:
X + 2y = 1 + 1 + 3xy + 2y2

Combine like terms: 1 + 1 = 2
X + 2y = 2 + 3xy + 2y2

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

Combine like terms: 2y + -2y = 0
X + 0 = 2 + 3xy + -2y + 2y2
X = 2 + 3xy + -2y + 2y2

Simplifying
X = 2 + 3xy + -2y + 2y2

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