P(2p+1)=0

Solution for P(2p+1)=0 equation:

Simplifying
P(2p + 1) = 0

Reorder the terms:
P(1 + 2p) = 0
(1 * P + 2p * P) = 0
(1P + 2pP) = 0

Solving
1P + 2pP = 0

Solving for variable 'P'.

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

Factor out the Greatest Common Factor (GCF), 'P'.
P(1 + 2p) = 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 '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Add '-2p' to each side of the equation.
2p + -2p = -1 + -2p

Combine like terms: 2p + -2p = 0
0 = -1 + -2p

Simplifying
0 = -1 + -2p

The solution to this equation could not be determined.

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