(4m+5n+p)*(4m+5n+p)=

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Solution for (4m+5n+p)*(4m+5n+p)= equation: 


Simplifying
(4m + 5n + p)(4m + 5n + p) = 0

Multiply (4m + 5n + p) * (4m + 5n + p)
(4m * (4m + 5n + p) + 5n * (4m + 5n + p) + p(4m + 5n + p)) = 0
((4m * 4m + 5n * 4m + p * 4m) + 5n * (4m + 5n + p) + p(4m + 5n + p)) = 0

Reorder the terms:
((20mn + 4mp + 16m2) + 5n * (4m + 5n + p) + p(4m + 5n + p)) = 0
((20mn + 4mp + 16m2) + 5n * (4m + 5n + p) + p(4m + 5n + p)) = 0
(20mn + 4mp + 16m2 + (4m * 5n + 5n * 5n + p * 5n) + p(4m + 5n + p)) = 0

Reorder the terms:
(20mn + 4mp + 16m2 + (20mn + 5np + 25n2) + p(4m + 5n + p)) = 0
(20mn + 4mp + 16m2 + (20mn + 5np + 25n2) + p(4m + 5n + p)) = 0
(20mn + 4mp + 16m2 + 20mn + 5np + 25n2 + (4m * p + 5n * p + p * p)) = 0
(20mn + 4mp + 16m2 + 20mn + 5np + 25n2 + (4mp + 5np + p2)) = 0

Reorder the terms:
(20mn + 20mn + 4mp + 4mp + 16m2 + 5np + 5np + 25n2 + p2) = 0

Combine like terms: 20mn + 20mn = 40mn
(40mn + 4mp + 4mp + 16m2 + 5np + 5np + 25n2 + p2) = 0

Combine like terms: 4mp + 4mp = 8mp
(40mn + 8mp + 16m2 + 5np + 5np + 25n2 + p2) = 0

Combine like terms: 5np + 5np = 10np
(40mn + 8mp + 16m2 + 10np + 25n2 + p2) = 0

Solving
40mn + 8mp + 16m2 + 10np + 25n2 + p2 = 0

Solving for variable 'm'.

The solution to this equation could not be determined.

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