2+y(2x-1)*(2x-1)=3y+(4x-1)*(x+1)

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Solution for 2+y(2x-1)*(2x-1)=3y+(4x-1)*(x+1) equation: 


Simplifying
2 + y(2x + -1)(2x + -1) = 3y + (4x + -1)(x + 1)

Reorder the terms:
2 + y(-1 + 2x)(2x + -1) = 3y + (4x + -1)(x + 1)

Reorder the terms:
2 + y(-1 + 2x)(-1 + 2x) = 3y + (4x + -1)(x + 1)

Multiply (-1 + 2x) * (-1 + 2x)
2 + y(-1(-1 + 2x) + 2x * (-1 + 2x)) = 3y + (4x + -1)(x + 1)
2 + y((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = 3y + (4x + -1)(x + 1)
2 + y((1 + -2x) + 2x * (-1 + 2x)) = 3y + (4x + -1)(x + 1)
2 + y(1 + -2x + (-1 * 2x + 2x * 2x)) = 3y + (4x + -1)(x + 1)
2 + y(1 + -2x + (-2x + 4x2)) = 3y + (4x + -1)(x + 1)

Combine like terms: -2x + -2x = -4x
2 + y(1 + -4x + 4x2) = 3y + (4x + -1)(x + 1)
2 + (1 * y + -4x * y + 4x2 * y) = 3y + (4x + -1)(x + 1)

Reorder the terms:
2 + (-4xy + 4x2y + 1y) = 3y + (4x + -1)(x + 1)
2 + (-4xy + 4x2y + 1y) = 3y + (4x + -1)(x + 1)

Reorder the terms:
2 + -4xy + 4x2y + 1y = 3y + (-1 + 4x)(x + 1)

Reorder the terms:
2 + -4xy + 4x2y + 1y = 3y + (-1 + 4x)(1 + x)

Multiply (-1 + 4x) * (1 + x)
2 + -4xy + 4x2y + 1y = 3y + (-1(1 + x) + 4x * (1 + x))
2 + -4xy + 4x2y + 1y = 3y + ((1 * -1 + x * -1) + 4x * (1 + x))
2 + -4xy + 4x2y + 1y = 3y + ((-1 + -1x) + 4x * (1 + x))
2 + -4xy + 4x2y + 1y = 3y + (-1 + -1x + (1 * 4x + x * 4x))
2 + -4xy + 4x2y + 1y = 3y + (-1 + -1x + (4x + 4x2))

Combine like terms: -1x + 4x = 3x
2 + -4xy + 4x2y + 1y = 3y + (-1 + 3x + 4x2)

Reorder the terms:
2 + -4xy + 4x2y + 1y = -1 + 3x + 4x2 + 3y

Solving
2 + -4xy + 4x2y + 1y = -1 + 3x + 4x2 + 3y

Solving for variable 'x'.

Reorder the terms:
2 + 1 + -3x + -4xy + -4x2 + 4x2y + 1y + -3y = -1 + 3x + 4x2 + 3y + 1 + -3x + -4x2 + -3y

Combine like terms: 2 + 1 = 3
3 + -3x + -4xy + -4x2 + 4x2y + 1y + -3y = -1 + 3x + 4x2 + 3y + 1 + -3x + -4x2 + -3y

Combine like terms: 1y + -3y = -2y
3 + -3x + -4xy + -4x2 + 4x2y + -2y = -1 + 3x + 4x2 + 3y + 1 + -3x + -4x2 + -3y

Reorder the terms:
3 + -3x + -4xy + -4x2 + 4x2y + -2y = -1 + 1 + 3x + -3x + 4x2 + -4x2 + 3y + -3y

Combine like terms: -1 + 1 = 0
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 0 + 3x + -3x + 4x2 + -4x2 + 3y + -3y
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 3x + -3x + 4x2 + -4x2 + 3y + -3y

Combine like terms: 3x + -3x = 0
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 0 + 4x2 + -4x2 + 3y + -3y
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 4x2 + -4x2 + 3y + -3y

Combine like terms: 4x2 + -4x2 = 0
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 0 + 3y + -3y
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 3y + -3y

Combine like terms: 3y + -3y = 0
3 + -3x + -4xy + -4x2 + 4x2y + -2y = 0

The solution to this equation could not be determined.

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