(5p^4+5p-4p^3)+(2p^3+5p^4+2p)=0

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Solution for (5p^4+5p-4p^3)+(2p^3+5p^4+2p)=0 equation: 


Simplifying
(5p4 + 5p + -4p3) + (2p3 + 5p4 + 2p) = 0

Reorder the terms:
(5p + -4p3 + 5p4) + (2p3 + 5p4 + 2p) = 0

Remove parenthesis around (5p + -4p3 + 5p4)
5p + -4p3 + 5p4 + (2p3 + 5p4 + 2p) = 0

Reorder the terms:
5p + -4p3 + 5p4 + (2p + 2p3 + 5p4) = 0

Remove parenthesis around (2p + 2p3 + 5p4)
5p + -4p3 + 5p4 + 2p + 2p3 + 5p4 = 0

Reorder the terms:
5p + 2p + -4p3 + 2p3 + 5p4 + 5p4 = 0

Combine like terms: 5p + 2p = 7p
7p + -4p3 + 2p3 + 5p4 + 5p4 = 0

Combine like terms: -4p3 + 2p3 = -2p3
7p + -2p3 + 5p4 + 5p4 = 0

Combine like terms: 5p4 + 5p4 = 10p4
7p + -2p3 + 10p4 = 0

Solving
7p + -2p3 + 10p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(7 + -2p2 + 10p3) = 0


Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

Subproblem 2
Set the factor '(7 + -2p2 + 10p3)' equal to zero and attempt to solve:

Simplifying
7 + -2p2 + 10p3 = 0

Solving
7 + -2p2 + 10p3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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