(X-1)(x-5)-1=0

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Solution for (X-1)(x-5)-1=0 equation:


Simplifying
(X + -1)(x + -5) + -1 = 0

Reorder the terms:
(-1 + X)(x + -5) + -1 = 0

Reorder the terms:
(-1 + X)(-5 + x) + -1 = 0

Multiply (-1 + X) * (-5 + x)
(-1(-5 + x) + X(-5 + x)) + -1 = 0
((-5 * -1 + x * -1) + X(-5 + x)) + -1 = 0
((5 + -1x) + X(-5 + x)) + -1 = 0
(5 + -1x + (-5 * X + x * X)) + -1 = 0
(5 + -1x + (-5X + xX)) + -1 = 0

Reorder the terms:
(5 + -5X + -1x + xX) + -1 = 0
(5 + -5X + -1x + xX) + -1 = 0

Reorder the terms:
5 + -1 + -5X + -1x + xX = 0

Combine like terms: 5 + -1 = 4
4 + -5X + -1x + xX = 0

Solving
4 + -5X + -1x + xX = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -5X + -1x + -4 + xX = 0 + -4

Reorder the terms:
4 + -4 + -5X + -1x + xX = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5X + -1x + xX = 0 + -4
-5X + -1x + xX = 0 + -4

Combine like terms: 0 + -4 = -4
-5X + -1x + xX = -4

Add 'x' to each side of the equation.
-5X + -1x + x + xX = -4 + x

Combine like terms: -1x + x = 0
-5X + 0 + xX = -4 + x
-5X + xX = -4 + x

Reorder the terms:
4 + -5X + -1x + xX = -4 + x + 4 + -1x

Reorder the terms:
4 + -5X + -1x + xX = -4 + 4 + x + -1x

Combine like terms: -4 + 4 = 0
4 + -5X + -1x + xX = 0 + x + -1x
4 + -5X + -1x + xX = x + -1x

Combine like terms: x + -1x = 0
4 + -5X + -1x + xX = 0

The solution to this equation could not be determined.

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