(X+1)(x-1)=(2x+4)(x-1)

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Solution for (X+1)(x-1)=(2x+4)(x-1) equation: 


Simplifying
(X + 1)(x + -1) = (2x + 4)(x + -1)

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

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

Multiply (1 + X) * (-1 + x)
(1(-1 + x) + X(-1 + x)) = (2x + 4)(x + -1)
((-1 * 1 + x * 1) + X(-1 + x)) = (2x + 4)(x + -1)
((-1 + 1x) + X(-1 + x)) = (2x + 4)(x + -1)
(-1 + 1x + (-1 * X + x * X)) = (2x + 4)(x + -1)
(-1 + 1x + (-1X + xX)) = (2x + 4)(x + -1)

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

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

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

Multiply (4 + 2x) * (-1 + x)
-1 + -1X + 1x + xX = (4(-1 + x) + 2x * (-1 + x))
-1 + -1X + 1x + xX = ((-1 * 4 + x * 4) + 2x * (-1 + x))
-1 + -1X + 1x + xX = ((-4 + 4x) + 2x * (-1 + x))
-1 + -1X + 1x + xX = (-4 + 4x + (-1 * 2x + x * 2x))
-1 + -1X + 1x + xX = (-4 + 4x + (-2x + 2x2))

Combine like terms: 4x + -2x = 2x
-1 + -1X + 1x + xX = (-4 + 2x + 2x2)

Solving
-1 + -1X + 1x + xX = -4 + 2x + 2x2

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 + -1X + 1x + 1 + xX = -4 + 2x + 1 + 2x2

Reorder the terms:
-1 + 1 + -1X + 1x + xX = -4 + 2x + 1 + 2x2

Combine like terms: -1 + 1 = 0
0 + -1X + 1x + xX = -4 + 2x + 1 + 2x2
-1X + 1x + xX = -4 + 2x + 1 + 2x2

Reorder the terms:
-1X + 1x + xX = -4 + 1 + 2x + 2x2

Combine like terms: -4 + 1 = -3
-1X + 1x + xX = -3 + 2x + 2x2

Add '-1x' to each side of the equation.
-1X + 1x + -1x + xX = -3 + 2x + -1x + 2x2

Combine like terms: 1x + -1x = 0
-1X + 0 + xX = -3 + 2x + -1x + 2x2
-1X + xX = -3 + 2x + -1x + 2x2

Combine like terms: 2x + -1x = 1x
-1X + xX = -3 + 1x + 2x2

Reorder the terms:
3 + -1X + -1x + xX + -2x2 = -3 + 1x + 2x2 + 3 + -1x + -2x2

Reorder the terms:
3 + -1X + -1x + xX + -2x2 = -3 + 3 + 1x + -1x + 2x2 + -2x2

Combine like terms: -3 + 3 = 0
3 + -1X + -1x + xX + -2x2 = 0 + 1x + -1x + 2x2 + -2x2
3 + -1X + -1x + xX + -2x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
3 + -1X + -1x + xX + -2x2 = 0 + 2x2 + -2x2
3 + -1X + -1x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + -1X + -1x + xX + -2x2 = 0

The solution to this equation could not be determined.

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