(2X+1)2=(X-1)2+3x(X+2)

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


Simplifying
(2X + 1) * 2 = (X + -1) * 2 + 3x(X + 2)

Reorder the terms:
(1 + 2X) * 2 = (X + -1) * 2 + 3x(X + 2)

Reorder the terms for easier multiplication:
2(1 + 2X) = (X + -1) * 2 + 3x(X + 2)
(1 * 2 + 2X * 2) = (X + -1) * 2 + 3x(X + 2)
(2 + 4X) = (X + -1) * 2 + 3x(X + 2)

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

Reorder the terms for easier multiplication:
2 + 4X = 2(-1 + X) + 3x(X + 2)
2 + 4X = (-1 * 2 + X * 2) + 3x(X + 2)
2 + 4X = (-2 + 2X) + 3x(X + 2)

Reorder the terms:
2 + 4X = -2 + 2X + 3x(2 + X)
2 + 4X = -2 + 2X + (2 * 3x + X * 3x)
2 + 4X = -2 + 2X + (6x + 3xX)

Solving
2 + 4X = -2 + 2X + 6x + 3xX

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
2 + 4X + -2X = -2 + 2X + 6x + -2X + 3xX

Combine like terms: 4X + -2X = 2X
2 + 2X = -2 + 2X + 6x + -2X + 3xX

Reorder the terms:
2 + 2X = -2 + 2X + -2X + 6x + 3xX

Combine like terms: 2X + -2X = 0
2 + 2X = -2 + 0 + 6x + 3xX
2 + 2X = -2 + 6x + 3xX

Add '-3xX' to each side of the equation.
2 + 2X + -3xX = -2 + 6x + 3xX + -3xX

Combine like terms: 3xX + -3xX = 0
2 + 2X + -3xX = -2 + 6x + 0
2 + 2X + -3xX = -2 + 6x

Add '-2' to each side of the equation.
2 + 2X + -2 + -3xX = -2 + -2 + 6x

Reorder the terms:
2 + -2 + 2X + -3xX = -2 + -2 + 6x

Combine like terms: 2 + -2 = 0
0 + 2X + -3xX = -2 + -2 + 6x
2X + -3xX = -2 + -2 + 6x

Combine like terms: -2 + -2 = -4
2X + -3xX = -4 + 6x

Reorder the terms:
4 + 2X + -6x + -3xX = -4 + 6x + 4 + -6x

Reorder the terms:
4 + 2X + -6x + -3xX = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
4 + 2X + -6x + -3xX = 0 + 6x + -6x
4 + 2X + -6x + -3xX = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + 2X + -6x + -3xX = 0

The solution to this equation could not be determined.

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