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

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


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

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

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

Multiply (-4 + X) * (-3 + x)
(-4(-3 + x) + X(-3 + x)) = (x + -1)(x + -1)
((-3 * -4 + x * -4) + X(-3 + x)) = (x + -1)(x + -1)
((12 + -4x) + X(-3 + x)) = (x + -1)(x + -1)
(12 + -4x + (-3 * X + x * X)) = (x + -1)(x + -1)
(12 + -4x + (-3X + xX)) = (x + -1)(x + -1)

Reorder the terms:
(12 + -3X + -4x + xX) = (x + -1)(x + -1)
(12 + -3X + -4x + xX) = (x + -1)(x + -1)

Reorder the terms:
12 + -3X + -4x + xX = (-1 + x)(x + -1)

Reorder the terms:
12 + -3X + -4x + xX = (-1 + x)(-1 + x)

Multiply (-1 + x) * (-1 + x)
12 + -3X + -4x + xX = (-1(-1 + x) + x(-1 + x))
12 + -3X + -4x + xX = ((-1 * -1 + x * -1) + x(-1 + x))
12 + -3X + -4x + xX = ((1 + -1x) + x(-1 + x))
12 + -3X + -4x + xX = (1 + -1x + (-1 * x + x * x))
12 + -3X + -4x + xX = (1 + -1x + (-1x + x2))

Combine like terms: -1x + -1x = -2x
12 + -3X + -4x + xX = (1 + -2x + x2)

Solving
12 + -3X + -4x + xX = 1 + -2x + x2

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + -3X + -4x + -12 + xX = 1 + -2x + -12 + x2

Reorder the terms:
12 + -12 + -3X + -4x + xX = 1 + -2x + -12 + x2

Combine like terms: 12 + -12 = 0
0 + -3X + -4x + xX = 1 + -2x + -12 + x2
-3X + -4x + xX = 1 + -2x + -12 + x2

Reorder the terms:
-3X + -4x + xX = 1 + -12 + -2x + x2

Combine like terms: 1 + -12 = -11
-3X + -4x + xX = -11 + -2x + x2

Add '4x' to each side of the equation.
-3X + -4x + 4x + xX = -11 + -2x + 4x + x2

Combine like terms: -4x + 4x = 0
-3X + 0 + xX = -11 + -2x + 4x + x2
-3X + xX = -11 + -2x + 4x + x2

Combine like terms: -2x + 4x = 2x
-3X + xX = -11 + 2x + x2

Reorder the terms:
11 + -3X + -2x + xX + -1x2 = -11 + 2x + x2 + 11 + -2x + -1x2

Reorder the terms:
11 + -3X + -2x + xX + -1x2 = -11 + 11 + 2x + -2x + x2 + -1x2

Combine like terms: -11 + 11 = 0
11 + -3X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
11 + -3X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
11 + -3X + -2x + xX + -1x2 = 0 + x2 + -1x2
11 + -3X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + -3X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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