(X-1)(x^2-2x+1)=0

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Solution for (X-1)(x^2-2x+1)=0 equation: 


Simplifying
(X + -1)(x2 + -2x + 1) = 0

Reorder the terms:
(-1 + X)(x2 + -2x + 1) = 0

Reorder the terms:
(-1 + X)(1 + -2x + x2) = 0

Multiply (-1 + X) * (1 + -2x + x2)
(-1(1 + -2x + x2) + X(1 + -2x + x2)) = 0
((1 * -1 + -2x * -1 + x2 * -1) + X(1 + -2x + x2)) = 0
((-1 + 2x + -1x2) + X(1 + -2x + x2)) = 0
(-1 + 2x + -1x2 + (1 * X + -2x * X + x2 * X)) = 0
(-1 + 2x + -1x2 + (1X + -2xX + x2X)) = 0

Reorder the terms:
(-1 + 1X + 2x + -2xX + -1x2 + x2X) = 0
(-1 + 1X + 2x + -2xX + -1x2 + x2X) = 0

Solving
-1 + 1X + 2x + -2xX + -1x2 + x2X = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1X + 2x + -2xX + -1x2 + 1 + x2X = 0 + 1

Reorder the terms:
-1 + 1 + 1X + 2x + -2xX + -1x2 + x2X = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 1X + 2x + -2xX + -1x2 + x2X = 0 + 1
1X + 2x + -2xX + -1x2 + x2X = 0 + 1

Combine like terms: 0 + 1 = 1
1X + 2x + -2xX + -1x2 + x2X = 1

Add '-2x' to each side of the equation.
1X + 2x + -2xX + -1x2 + -2x + x2X = 1 + -2x

Reorder the terms:
1X + 2x + -2x + -2xX + -1x2 + x2X = 1 + -2x

Combine like terms: 2x + -2x = 0
1X + 0 + -2xX + -1x2 + x2X = 1 + -2x
1X + -2xX + -1x2 + x2X = 1 + -2x

Add 'x2' to each side of the equation.
1X + -2xX + -1x2 + x2 + x2X = 1 + -2x + x2

Combine like terms: -1x2 + x2 = 0
1X + -2xX + 0 + x2X = 1 + -2x + x2
1X + -2xX + x2X = 1 + -2x + x2

Reorder the terms:
-1 + 1X + 2x + -2xX + -1x2 + x2X = 1 + -2x + x2 + -1 + 2x + -1x2

Reorder the terms:
-1 + 1X + 2x + -2xX + -1x2 + x2X = 1 + -1 + -2x + 2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + 1X + 2x + -2xX + -1x2 + x2X = 0 + -2x + 2x + x2 + -1x2
-1 + 1X + 2x + -2xX + -1x2 + x2X = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-1 + 1X + 2x + -2xX + -1x2 + x2X = 0 + x2 + -1x2
-1 + 1X + 2x + -2xX + -1x2 + x2X = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 1X + 2x + -2xX + -1x2 + x2X = 0

The solution to this equation could not be determined.

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