(m^2-5mp+2p^2)(m^2+5mp-2p^2)=

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Solution for (m^2-5mp+2p^2)(m^2+5mp-2p^2)= equation:


Simplifying
(m2 + -5mp + 2p2)(m2 + 5mp + -2p2) = 0

Reorder the terms:
(-5mp + m2 + 2p2)(m2 + 5mp + -2p2) = 0

Reorder the terms:
(-5mp + m2 + 2p2)(5mp + m2 + -2p2) = 0

Multiply (-5mp + m2 + 2p2) * (5mp + m2 + -2p2)
(-5mp * (5mp + m2 + -2p2) + m2(5mp + m2 + -2p2) + 2p2 * (5mp + m2 + -2p2)) = 0
((5mp * -5mp + m2 * -5mp + -2p2 * -5mp) + m2(5mp + m2 + -2p2) + 2p2 * (5mp + m2 + -2p2)) = 0

Reorder the terms:
((10mp3 + -25m2p2 + -5m3p) + m2(5mp + m2 + -2p2) + 2p2 * (5mp + m2 + -2p2)) = 0
((10mp3 + -25m2p2 + -5m3p) + m2(5mp + m2 + -2p2) + 2p2 * (5mp + m2 + -2p2)) = 0
(10mp3 + -25m2p2 + -5m3p + (5mp * m2 + m2 * m2 + -2p2 * m2) + 2p2 * (5mp + m2 + -2p2)) = 0

Reorder the terms:
(10mp3 + -25m2p2 + -5m3p + (-2m2p2 + 5m3p + m4) + 2p2 * (5mp + m2 + -2p2)) = 0
(10mp3 + -25m2p2 + -5m3p + (-2m2p2 + 5m3p + m4) + 2p2 * (5mp + m2 + -2p2)) = 0
(10mp3 + -25m2p2 + -5m3p + -2m2p2 + 5m3p + m4 + (5mp * 2p2 + m2 * 2p2 + -2p2 * 2p2)) = 0
(10mp3 + -25m2p2 + -5m3p + -2m2p2 + 5m3p + m4 + (10mp3 + 2m2p2 + -4p4)) = 0

Reorder the terms:
(10mp3 + 10mp3 + -25m2p2 + -2m2p2 + 2m2p2 + -5m3p + 5m3p + m4 + -4p4) = 0

Combine like terms: 10mp3 + 10mp3 = 20mp3
(20mp3 + -25m2p2 + -2m2p2 + 2m2p2 + -5m3p + 5m3p + m4 + -4p4) = 0

Combine like terms: -25m2p2 + -2m2p2 = -27m2p2
(20mp3 + -27m2p2 + 2m2p2 + -5m3p + 5m3p + m4 + -4p4) = 0

Combine like terms: -27m2p2 + 2m2p2 = -25m2p2
(20mp3 + -25m2p2 + -5m3p + 5m3p + m4 + -4p4) = 0

Combine like terms: -5m3p + 5m3p = 0
(20mp3 + -25m2p2 + 0 + m4 + -4p4) = 0
(20mp3 + -25m2p2 + m4 + -4p4) = 0

Solving
20mp3 + -25m2p2 + m4 + -4p4 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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