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

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


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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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