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

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


Simplifying
X2 + -1(p + -2) * x + 2p + 1 = 0

Reorder the terms:
X2 + -1(-2 + p) * x + 2p + 1 = 0

Reorder the terms for easier multiplication:
X2 + -1x(-2 + p) + 2p + 1 = 0
X2 + (-2 * -1x + p * -1x) + 2p + 1 = 0

Reorder the terms:
X2 + (-1px + 2x) + 2p + 1 = 0
X2 + (-1px + 2x) + 2p + 1 = 0

Reorder the terms:
1 + X2 + 2p + -1px + 2x = 0

Solving
1 + X2 + 2p + -1px + 2x = 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 + X2 + 2p + -1px + -1 + 2x = 0 + -1

Reorder the terms:
1 + -1 + X2 + 2p + -1px + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + X2 + 2p + -1px + 2x = 0 + -1
X2 + 2p + -1px + 2x = 0 + -1

Combine like terms: 0 + -1 = -1
X2 + 2p + -1px + 2x = -1

Add '-2p' to each side of the equation.
X2 + 2p + -1px + -2p + 2x = -1 + -2p

Reorder the terms:
X2 + 2p + -2p + -1px + 2x = -1 + -2p

Combine like terms: 2p + -2p = 0
X2 + 0 + -1px + 2x = -1 + -2p
X2 + -1px + 2x = -1 + -2p

Add 'px' to each side of the equation.
X2 + -1px + px + 2x = -1 + -2p + px

Combine like terms: -1px + px = 0
X2 + 0 + 2x = -1 + -2p + px
X2 + 2x = -1 + -2p + px

Add '-2x' to each side of the equation.
X2 + 2x + -2x = -1 + -2p + px + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 = -1 + -2p + px + -2x
X2 = -1 + -2p + px + -2x

Simplifying
X2 = -1 + -2p + px + -2x

Reorder the terms:
1 + X2 + 2p + -1px + 2x = -1 + -2p + px + -2x + 1 + 2p + -1px + 2x

Reorder the terms:
1 + X2 + 2p + -1px + 2x = -1 + 1 + -2p + 2p + px + -1px + -2x + 2x

Combine like terms: -1 + 1 = 0
1 + X2 + 2p + -1px + 2x = 0 + -2p + 2p + px + -1px + -2x + 2x
1 + X2 + 2p + -1px + 2x = -2p + 2p + px + -1px + -2x + 2x

Combine like terms: -2p + 2p = 0
1 + X2 + 2p + -1px + 2x = 0 + px + -1px + -2x + 2x
1 + X2 + 2p + -1px + 2x = px + -1px + -2x + 2x

Combine like terms: px + -1px = 0
1 + X2 + 2p + -1px + 2x = 0 + -2x + 2x
1 + X2 + 2p + -1px + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
1 + X2 + 2p + -1px + 2x = 0

The solution to this equation could not be determined.

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