(X-3)(x-2)=x^2-8x+8

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Solution for (X-3)(x-2)=x^2-8x+8 equation: 


Simplifying
(X + -3)(x + -2) = x2 + -8x + 8

Reorder the terms:
(-3 + X)(x + -2) = x2 + -8x + 8

Reorder the terms:
(-3 + X)(-2 + x) = x2 + -8x + 8

Multiply (-3 + X) * (-2 + x)
(-3(-2 + x) + X(-2 + x)) = x2 + -8x + 8
((-2 * -3 + x * -3) + X(-2 + x)) = x2 + -8x + 8
((6 + -3x) + X(-2 + x)) = x2 + -8x + 8
(6 + -3x + (-2 * X + x * X)) = x2 + -8x + 8
(6 + -3x + (-2X + xX)) = x2 + -8x + 8

Reorder the terms:
(6 + -2X + -3x + xX) = x2 + -8x + 8
(6 + -2X + -3x + xX) = x2 + -8x + 8

Reorder the terms:
6 + -2X + -3x + xX = 8 + -8x + x2

Solving
6 + -2X + -3x + xX = 8 + -8x + x2

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 + -3x + -6 + xX = 8 + -8x + -6 + x2

Reorder the terms:
6 + -6 + -2X + -3x + xX = 8 + -8x + -6 + x2

Combine like terms: 6 + -6 = 0
0 + -2X + -3x + xX = 8 + -8x + -6 + x2
-2X + -3x + xX = 8 + -8x + -6 + x2

Reorder the terms:
-2X + -3x + xX = 8 + -6 + -8x + x2

Combine like terms: 8 + -6 = 2
-2X + -3x + xX = 2 + -8x + x2

Add '3x' to each side of the equation.
-2X + -3x + 3x + xX = 2 + -8x + 3x + x2

Combine like terms: -3x + 3x = 0
-2X + 0 + xX = 2 + -8x + 3x + x2
-2X + xX = 2 + -8x + 3x + x2

Combine like terms: -8x + 3x = -5x
-2X + xX = 2 + -5x + x2

Reorder the terms:
-2 + -2X + 5x + xX + -1x2 = 2 + -5x + x2 + -2 + 5x + -1x2

Reorder the terms:
-2 + -2X + 5x + xX + -1x2 = 2 + -2 + -5x + 5x + x2 + -1x2

Combine like terms: 2 + -2 = 0
-2 + -2X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2
-2 + -2X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
-2 + -2X + 5x + xX + -1x2 = 0 + x2 + -1x2
-2 + -2X + 5x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + -2X + 5x + xX + -1x2 = 0

The solution to this equation could not be determined.

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