(m^2-2mp+2p^2)(m^2+2mp-2p^2)=

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Solution for (m^2-2mp+2p^2)(m^2+2mp-2p^2)= equation: 


Simplifying
(m2 + -2mp + 2p2)(m2 + 2mp + -2p2) = 0

Reorder the terms:
(-2mp + m2 + 2p2)(m2 + 2mp + -2p2) = 0

Reorder the terms:
(-2mp + m2 + 2p2)(2mp + m2 + -2p2) = 0

Multiply (-2mp + m2 + 2p2) * (2mp + m2 + -2p2)
(-2mp * (2mp + m2 + -2p2) + m2(2mp + m2 + -2p2) + 2p2 * (2mp + m2 + -2p2)) = 0
((2mp * -2mp + m2 * -2mp + -2p2 * -2mp) + m2(2mp + m2 + -2p2) + 2p2 * (2mp + m2 + -2p2)) = 0

Reorder the terms:
((4mp3 + -4m2p2 + -2m3p) + m2(2mp + m2 + -2p2) + 2p2 * (2mp + m2 + -2p2)) = 0
((4mp3 + -4m2p2 + -2m3p) + m2(2mp + m2 + -2p2) + 2p2 * (2mp + m2 + -2p2)) = 0
(4mp3 + -4m2p2 + -2m3p + (2mp * m2 + m2 * m2 + -2p2 * m2) + 2p2 * (2mp + m2 + -2p2)) = 0

Reorder the terms:
(4mp3 + -4m2p2 + -2m3p + (-2m2p2 + 2m3p + m4) + 2p2 * (2mp + m2 + -2p2)) = 0
(4mp3 + -4m2p2 + -2m3p + (-2m2p2 + 2m3p + m4) + 2p2 * (2mp + m2 + -2p2)) = 0
(4mp3 + -4m2p2 + -2m3p + -2m2p2 + 2m3p + m4 + (2mp * 2p2 + m2 * 2p2 + -2p2 * 2p2)) = 0
(4mp3 + -4m2p2 + -2m3p + -2m2p2 + 2m3p + m4 + (4mp3 + 2m2p2 + -4p4)) = 0

Reorder the terms:
(4mp3 + 4mp3 + -4m2p2 + -2m2p2 + 2m2p2 + -2m3p + 2m3p + m4 + -4p4) = 0

Combine like terms: 4mp3 + 4mp3 = 8mp3
(8mp3 + -4m2p2 + -2m2p2 + 2m2p2 + -2m3p + 2m3p + m4 + -4p4) = 0

Combine like terms: -4m2p2 + -2m2p2 = -6m2p2
(8mp3 + -6m2p2 + 2m2p2 + -2m3p + 2m3p + m4 + -4p4) = 0

Combine like terms: -6m2p2 + 2m2p2 = -4m2p2
(8mp3 + -4m2p2 + -2m3p + 2m3p + m4 + -4p4) = 0

Combine like terms: -2m3p + 2m3p = 0
(8mp3 + -4m2p2 + 0 + m4 + -4p4) = 0
(8mp3 + -4m2p2 + m4 + -4p4) = 0

Solving
8mp3 + -4m2p2 + m4 + -4p4 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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