X^2-x(2p-3)+p^2-3p+2=0

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Solution for X^2-x(2p-3)+p^2-3p+2=0 equation: 


Simplifying
X2 + -1x(2p + -3) + p2 + -3p + 2 = 0

Reorder the terms:
X2 + -1x(-3 + 2p) + p2 + -3p + 2 = 0
X2 + (-3 * -1x + 2p * -1x) + p2 + -3p + 2 = 0

Reorder the terms:
X2 + (-2px + 3x) + p2 + -3p + 2 = 0
X2 + (-2px + 3x) + p2 + -3p + 2 = 0

Reorder the terms:
2 + X2 + -3p + -2px + p2 + 3x = 0

Solving
2 + X2 + -3p + -2px + p2 + 3x = 0

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + X2 + -3p + -2px + p2 + -2 + 3x = 0 + -2

Reorder the terms:
2 + -2 + X2 + -3p + -2px + p2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X2 + -3p + -2px + p2 + 3x = 0 + -2
X2 + -3p + -2px + p2 + 3x = 0 + -2

Combine like terms: 0 + -2 = -2
X2 + -3p + -2px + p2 + 3x = -2

Add '3p' to each side of the equation.
X2 + -3p + -2px + p2 + 3p + 3x = -2 + 3p

Reorder the terms:
X2 + -3p + 3p + -2px + p2 + 3x = -2 + 3p

Combine like terms: -3p + 3p = 0
X2 + 0 + -2px + p2 + 3x = -2 + 3p
X2 + -2px + p2 + 3x = -2 + 3p

Add '2px' to each side of the equation.
X2 + -2px + p2 + 2px + 3x = -2 + 3p + 2px

Reorder the terms:
X2 + -2px + 2px + p2 + 3x = -2 + 3p + 2px

Combine like terms: -2px + 2px = 0
X2 + 0 + p2 + 3x = -2 + 3p + 2px
X2 + p2 + 3x = -2 + 3p + 2px

Add '-1p2' to each side of the equation.
X2 + p2 + -1p2 + 3x = -2 + 3p + 2px + -1p2

Combine like terms: p2 + -1p2 = 0
X2 + 0 + 3x = -2 + 3p + 2px + -1p2
X2 + 3x = -2 + 3p + 2px + -1p2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = -2 + 3p + 2px + -1p2 + -3x

Combine like terms: 3x + -3x = 0
X2 + 0 = -2 + 3p + 2px + -1p2 + -3x
X2 = -2 + 3p + 2px + -1p2 + -3x

Simplifying
X2 = -2 + 3p + 2px + -1p2 + -3x

Reorder the terms:
2 + X2 + -3p + -2px + p2 + 3x = -2 + 3p + 2px + -1p2 + -3x + 2 + -3p + -2px + p2 + 3x

Reorder the terms:
2 + X2 + -3p + -2px + p2 + 3x = -2 + 2 + 3p + -3p + 2px + -2px + -1p2 + p2 + -3x + 3x

Combine like terms: -2 + 2 = 0
2 + X2 + -3p + -2px + p2 + 3x = 0 + 3p + -3p + 2px + -2px + -1p2 + p2 + -3x + 3x
2 + X2 + -3p + -2px + p2 + 3x = 3p + -3p + 2px + -2px + -1p2 + p2 + -3x + 3x

Combine like terms: 3p + -3p = 0
2 + X2 + -3p + -2px + p2 + 3x = 0 + 2px + -2px + -1p2 + p2 + -3x + 3x
2 + X2 + -3p + -2px + p2 + 3x = 2px + -2px + -1p2 + p2 + -3x + 3x

Combine like terms: 2px + -2px = 0
2 + X2 + -3p + -2px + p2 + 3x = 0 + -1p2 + p2 + -3x + 3x
2 + X2 + -3p + -2px + p2 + 3x = -1p2 + p2 + -3x + 3x

Combine like terms: -1p2 + p2 = 0
2 + X2 + -3p + -2px + p2 + 3x = 0 + -3x + 3x
2 + X2 + -3p + -2px + p2 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
2 + X2 + -3p + -2px + p2 + 3x = 0

The solution to this equation could not be determined.

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