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

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

Simplifying
(X + 1)(x + -1) + x(x + -1) = x2

Reorder the terms:
(1 + X)(x + -1) + x(x + -1) = x2

Reorder the terms:
(1 + X)(-1 + x) + x(x + -1) = x2

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

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

Reorder the terms:
-1 + -1X + 1x + xX + x(-1 + x) = x2
-1 + -1X + 1x + xX + (-1 * x + x * x) = x2
-1 + -1X + 1x + xX + (-1x + x2) = x2

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

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

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

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

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

Solving
-1 + -1X + xX = 0

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 + 1 + xX = 0 + 1

Reorder the terms:
-1 + 1 + -1X + xX = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1X + xX = 0 + 1
-1X + xX = 0 + 1

Combine like terms: 0 + 1 = 1
-1X + xX = 1

Reorder the terms:
-1 + -1X + xX = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1X + xX = 0

The solution to this equation could not be determined.