2p^4-5p^3-3p^2+8p-2-2p^4-3p^2+2=

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Solution for 2p^4-5p^3-3p^2+8p-2-2p^4-3p^2+2= equation: 


Simplifying
2p4 + -5p3 + -3p2 + 8p + -2 + -2p4 + -3p2 + 2 = 0

Reorder the terms:
-2 + 2 + 8p + -3p2 + -3p2 + -5p3 + 2p4 + -2p4 = 0

Combine like terms: -2 + 2 = 0
0 + 8p + -3p2 + -3p2 + -5p3 + 2p4 + -2p4 = 0
8p + -3p2 + -3p2 + -5p3 + 2p4 + -2p4 = 0

Combine like terms: -3p2 + -3p2 = -6p2
8p + -6p2 + -5p3 + 2p4 + -2p4 = 0

Combine like terms: 2p4 + -2p4 = 0
8p + -6p2 + -5p3 + 0 = 0
8p + -6p2 + -5p3 = 0

Solving
8p + -6p2 + -5p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(8 + -6p + -5p2) = 0

Factor a trinomial.
p((4 + -5p)(2 + p)) = 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 '(4 + -5p)' equal to zero and attempt to solve:

Simplifying
4 + -5p = 0

Solving
4 + -5p = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5p = 0 + -4
-5p = 0 + -4

Combine like terms: 0 + -4 = -4
-5p = -4

Divide each side by '-5'.
p = 0.8

Simplifying
p = 0.8

Subproblem 3
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

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

Add '-2' to each side of the equation.
2 + -2 + p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + p = 0 + -2
p = 0 + -2

Combine like terms: 0 + -2 = -2
p = -2

Simplifying
p = -2
Solution
p = {0, 0.8, -2}

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