(x-2)=px(x+2)-1

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


Simplifying
(x + -2) = px(x + 2) + -1

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

Remove parenthesis around (-2 + x)
-2 + x = px(x + 2) + -1

Reorder the terms:
-2 + x = px(2 + x) + -1
-2 + x = (2 * px + x * px) + -1
-2 + x = (2px + px2) + -1

Reorder the terms:
-2 + x = -1 + 2px + px2

Solving
-2 + x = -1 + 2px + px2

Solving for variable 'x'.

Reorder the terms:
-2 + 1 + -2px + -1px2 + x = -1 + 2px + px2 + 1 + -2px + -1px2

Combine like terms: -2 + 1 = -1
-1 + -2px + -1px2 + x = -1 + 2px + px2 + 1 + -2px + -1px2

Reorder the terms:
-1 + -2px + -1px2 + x = -1 + 1 + 2px + -2px + px2 + -1px2

Combine like terms: -1 + 1 = 0
-1 + -2px + -1px2 + x = 0 + 2px + -2px + px2 + -1px2
-1 + -2px + -1px2 + x = 2px + -2px + px2 + -1px2

Combine like terms: 2px + -2px = 0
-1 + -2px + -1px2 + x = 0 + px2 + -1px2
-1 + -2px + -1px2 + x = px2 + -1px2

Combine like terms: px2 + -1px2 = 0
-1 + -2px + -1px2 + x = 0

The solution to this equation could not be determined.

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