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

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


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

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

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

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

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

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

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

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

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

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

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

Multiply (1 + x) * (-2 + x)
-3 + 1X + 3x + xX = (1(-2 + x) + x(-2 + x))
-3 + 1X + 3x + xX = ((-2 * 1 + x * 1) + x(-2 + x))
-3 + 1X + 3x + xX = ((-2 + 1x) + x(-2 + x))
-3 + 1X + 3x + xX = (-2 + 1x + (-2 * x + x * x))
-3 + 1X + 3x + xX = (-2 + 1x + (-2x + x2))

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

Solving
-3 + 1X + 3x + xX = -2 + -1x + x2

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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