XP(XP+Y)=Z(XP+Y)

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Solution for XP(XP+Y)=Z(XP+Y) equation: 


Simplifying
XP(XP + Y) = Z(XP + Y)
(PX * PX + Y * PX) = Z(XP + Y)

Reorder the terms:
(PXY + P2X2) = Z(XP + Y)
(PXY + P2X2) = Z(XP + Y)
PXY + P2X2 = (PX * Z + Y * Z)
PXY + P2X2 = (PXZ + YZ)

Solving
PXY + P2X2 = PXZ + YZ

Solving for variable 'P'.

Reorder the terms:
PXY + -1PXZ + P2X2 + -1YZ = PXZ + YZ + -1PXZ + -1YZ

Reorder the terms:
PXY + -1PXZ + P2X2 + -1YZ = PXZ + -1PXZ + YZ + -1YZ

Combine like terms: PXZ + -1PXZ = 0
PXY + -1PXZ + P2X2 + -1YZ = 0 + YZ + -1YZ
PXY + -1PXZ + P2X2 + -1YZ = YZ + -1YZ

Combine like terms: YZ + -1YZ = 0
PXY + -1PXZ + P2X2 + -1YZ = 0

The solution to this equation could not be determined.

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