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

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

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

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

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

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

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

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

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + -5X + -1x + -5 + xX = -1 + -5

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

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

Combine like terms: -1 + -5 = -6
-5X + -1x + xX = -6

Add 'x' to each side of the equation.
-5X + -1x + x + xX = -6 + x

Combine like terms: -1x + x = 0
-5X + 0 + xX = -6 + x
-5X + xX = -6 + x

Reorder the terms:
6 + -5X + -1x + xX = -6 + x + 6 + -1x

Reorder the terms:
6 + -5X + -1x + xX = -6 + 6 + x + -1x

Combine like terms: -6 + 6 = 0
6 + -5X + -1x + xX = 0 + x + -1x
6 + -5X + -1x + xX = x + -1x

Combine like terms: x + -1x = 0
6 + -5X + -1x + xX = 0

The solution to this equation could not be determined.