(X-1)*(x-3)=1

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Solution for (X-1)*(x-3)=1 equation:


Simplifying
(X + -1)(x + -3) = 1

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

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

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

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

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

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 + -3X + -1x + -3 + xX = 1 + -3

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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