2y^2x-y^2-(1+3y)=x

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Solution for 2y^2x-y^2-(1+3y)=x equation: 


Simplifying
2y2x + -1y2 + -1(1 + 3y) = x
2xy2 + -1y2 + (1 * -1 + 3y * -1) = x
2xy2 + -1y2 + (-1 + -3y) = x

Reorder the terms:
-1 + 2xy2 + -3y + -1y2 = x

Solving
-1 + 2xy2 + -3y + -1y2 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 2xy2 + -3y + -1x + -1y2 = x + -1x

Reorder the terms:
-1 + -1x + 2xy2 + -3y + -1y2 = x + -1x

Combine like terms: x + -1x = 0
-1 + -1x + 2xy2 + -3y + -1y2 = 0

Add '1' to each side of the equation.
-1 + -1x + 2xy2 + -3y + 1 + -1y2 = 0 + 1

Reorder the terms:
-1 + 1 + -1x + 2xy2 + -3y + -1y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x + 2xy2 + -3y + -1y2 = 0 + 1
-1x + 2xy2 + -3y + -1y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x + 2xy2 + -3y + -1y2 = 1

Add '3y' to each side of the equation.
-1x + 2xy2 + -3y + 3y + -1y2 = 1 + 3y

Combine like terms: -3y + 3y = 0
-1x + 2xy2 + 0 + -1y2 = 1 + 3y
-1x + 2xy2 + -1y2 = 1 + 3y

Add 'y2' to each side of the equation.
-1x + 2xy2 + -1y2 + y2 = 1 + 3y + y2

Combine like terms: -1y2 + y2 = 0
-1x + 2xy2 + 0 = 1 + 3y + y2
-1x + 2xy2 = 1 + 3y + y2

Reorder the terms:
-1 + -1x + 2xy2 + -3y + -1y2 = 1 + 3y + y2 + -1 + -3y + -1y2

Reorder the terms:
-1 + -1x + 2xy2 + -3y + -1y2 = 1 + -1 + 3y + -3y + y2 + -1y2

Combine like terms: 1 + -1 = 0
-1 + -1x + 2xy2 + -3y + -1y2 = 0 + 3y + -3y + y2 + -1y2
-1 + -1x + 2xy2 + -3y + -1y2 = 3y + -3y + y2 + -1y2

Combine like terms: 3y + -3y = 0
-1 + -1x + 2xy2 + -3y + -1y2 = 0 + y2 + -1y2
-1 + -1x + 2xy2 + -3y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1 + -1x + 2xy2 + -3y + -1y2 = 0

The solution to this equation could not be determined.

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