(3p-5p^2+5p^4)-(-6p+6p^4+2p^2)=

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Solution for (3p-5p^2+5p^4)-(-6p+6p^4+2p^2)= equation: 


Simplifying
(3p + -5p2 + 5p4) + -1(-6p + 6p4 + 2p2) = 0

Remove parenthesis around (3p + -5p2 + 5p4)
3p + -5p2 + 5p4 + -1(-6p + 6p4 + 2p2) = 0

Reorder the terms:
3p + -5p2 + 5p4 + -1(-6p + 2p2 + 6p4) = 0
3p + -5p2 + 5p4 + (-6p * -1 + 2p2 * -1 + 6p4 * -1) = 0
3p + -5p2 + 5p4 + (6p + -2p2 + -6p4) = 0

Reorder the terms:
3p + 6p + -5p2 + -2p2 + 5p4 + -6p4 = 0

Combine like terms: 3p + 6p = 9p
9p + -5p2 + -2p2 + 5p4 + -6p4 = 0

Combine like terms: -5p2 + -2p2 = -7p2
9p + -7p2 + 5p4 + -6p4 = 0

Combine like terms: 5p4 + -6p4 = -1p4
9p + -7p2 + -1p4 = 0

Solving
9p + -7p2 + -1p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(9 + -7p + -1p3) = 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 '(9 + -7p + -1p3)' equal to zero and attempt to solve:

Simplifying
9 + -7p + -1p3 = 0

Solving
9 + -7p + -1p3 = 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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