(X-1)(x-1)=5

Solution for (X-1)(x-1)=5 equation:

Simplifying
(X + -1)(x + -1) = 5

Reorder the terms:
(-1 + X)(x + -1) = 5

Reorder the terms:
(-1 + X)(-1 + x) = 5

Multiply (-1 + X) * (-1 + x)
(-1(-1 + x) + X(-1 + x)) = 5
((-1 * -1 + x * -1) + X(-1 + x)) = 5
((1 + -1x) + X(-1 + x)) = 5
(1 + -1x + (-1 * X + x * X)) = 5
(1 + -1x + (-1X + xX)) = 5

Reorder the terms:
(1 + -1X + -1x + xX) = 5
(1 + -1X + -1x + xX) = 5

Solving
1 + -1X + -1x + xX = 5

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 = 5 + -1

Reorder the terms:
1 + -1 + -1X + -1x + xX = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -1X + -1x + xX = 5 + -1
-1X + -1x + xX = 5 + -1

Combine like terms: 5 + -1 = 4
-1X + -1x + xX = 4

Add 'x' to each side of the equation.
-1X + -1x + x + xX = 4 + x

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

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

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

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

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

The solution to this equation could not be determined.