0=2p^4-16p

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Solution for 0=2p^4-16p equation: 


Simplifying
0 = 2p4 + -16p

Reorder the terms:
0 = -16p + 2p4

Solving
0 = -16p + 2p4

Solving for variable 'p'.
Remove the zero:
16p + -2p4 = -16p + 2p4 + 16p + -2p4

Reorder the terms:
16p + -2p4 = -16p + 16p + 2p4 + -2p4

Combine like terms: -16p + 16p = 0
16p + -2p4 = 0 + 2p4 + -2p4
16p + -2p4 = 2p4 + -2p4

Combine like terms: 2p4 + -2p4 = 0
16p + -2p4 = 0

Factor out the Greatest Common Factor (GCF), '2p'.
2p(8 + -1p3) = 0

Ignore the factor 2.

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 '(8 + -1p3)' equal to zero and attempt to solve:

Simplifying
8 + -1p3 = 0

Solving
8 + -1p3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p3 = 0 + -8
-1p3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1p3 = -8

Divide each side by '-1'.
p3 = 8

Simplifying
p3 = 8

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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