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

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


Simplifying
x2 + 2p + 1 = 2(p + -1) * x

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

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

Reorder the terms for easier multiplication:
1 + 2p + x2 = 2x(-1 + p)
1 + 2p + x2 = (-1 * 2x + p * 2x)

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

Solving
1 + 2p + x2 = 2px + -2x

Solving for variable 'p'.

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

Add '-2px' to each side of the equation.
1 + 2p + -2px + x2 = 2px + -2px + -2x

Combine like terms: 2px + -2px = 0
1 + 2p + -2px + x2 = 0 + -2x
1 + 2p + -2px + x2 = -2x

Add '-1' to each side of the equation.
1 + 2p + -2px + -1 + x2 = -1 + -2x

Reorder the terms:
1 + -1 + 2p + -2px + x2 = -1 + -2x

Combine like terms: 1 + -1 = 0
0 + 2p + -2px + x2 = -1 + -2x
2p + -2px + x2 = -1 + -2x

Add '-1x2' to each side of the equation.
2p + -2px + x2 + -1x2 = -1 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
2p + -2px + 0 = -1 + -2x + -1x2
2p + -2px = -1 + -2x + -1x2

Reorder the terms:
1 + 2p + -2px + 2x + x2 = -1 + -2x + -1x2 + 1 + 2x + x2

Reorder the terms:
1 + 2p + -2px + 2x + x2 = -1 + 1 + -2x + 2x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 2p + -2px + 2x + x2 = 0 + -2x + 2x + -1x2 + x2
1 + 2p + -2px + 2x + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
1 + 2p + -2px + 2x + x2 = 0 + -1x2 + x2
1 + 2p + -2px + 2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 2p + -2px + 2x + x2 = 0

The solution to this equation could not be determined.

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