(X-1)(x-2)+4=(x-1)+3

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Solution for (X-1)(x-2)+4=(x-1)+3 equation:


Simplifying
(X + -1)(x + -2) + 4 = (x + -1) + 3

Reorder the terms:
(-1 + X)(x + -2) + 4 = (x + -1) + 3

Reorder the terms:
(-1 + X)(-2 + x) + 4 = (x + -1) + 3

Multiply (-1 + X) * (-2 + x)
(-1(-2 + x) + X(-2 + x)) + 4 = (x + -1) + 3
((-2 * -1 + x * -1) + X(-2 + x)) + 4 = (x + -1) + 3
((2 + -1x) + X(-2 + x)) + 4 = (x + -1) + 3
(2 + -1x + (-2 * X + x * X)) + 4 = (x + -1) + 3
(2 + -1x + (-2X + xX)) + 4 = (x + -1) + 3

Reorder the terms:
(2 + -2X + -1x + xX) + 4 = (x + -1) + 3
(2 + -2X + -1x + xX) + 4 = (x + -1) + 3

Reorder the terms:
2 + 4 + -2X + -1x + xX = (x + -1) + 3

Combine like terms: 2 + 4 = 6
6 + -2X + -1x + xX = (x + -1) + 3

Reorder the terms:
6 + -2X + -1x + xX = (-1 + x) + 3

Remove parenthesis around (-1 + x)
6 + -2X + -1x + xX = -1 + x + 3

Reorder the terms:
6 + -2X + -1x + xX = -1 + 3 + x

Combine like terms: -1 + 3 = 2
6 + -2X + -1x + xX = 2 + x

Solving
6 + -2X + -1x + xX = 2 + x

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + -2X + -1x + -6 + xX = 2 + -6 + x

Reorder the terms:
6 + -6 + -2X + -1x + xX = 2 + -6 + x

Combine like terms: 6 + -6 = 0
0 + -2X + -1x + xX = 2 + -6 + x
-2X + -1x + xX = 2 + -6 + x

Combine like terms: 2 + -6 = -4
-2X + -1x + xX = -4 + x

Add 'x' to each side of the equation.
-2X + -1x + x + xX = -4 + x + x

Combine like terms: -1x + x = 0
-2X + 0 + xX = -4 + x + x
-2X + xX = -4 + x + x

Combine like terms: x + x = 2x
-2X + xX = -4 + 2x

Reorder the terms:
4 + -2X + -2x + xX = -4 + 2x + 4 + -2x

Reorder the terms:
4 + -2X + -2x + xX = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
4 + -2X + -2x + xX = 0 + 2x + -2x
4 + -2X + -2x + xX = 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -2X + -2x + xX = 0

The solution to this equation could not be determined.

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