P(3p-5)=0

Solution for P(3p-5)=0 equation:

Simplifying
P(3p + -5) = 0

Reorder the terms:
P(-5 + 3p) = 0
(-5 * P + 3p * P) = 0
(-5P + 3pP) = 0

Solving
-5P + 3pP = 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(-5 + 3p) = 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 '(-5 + 3p)' equal to zero and attempt to solve:

Simplifying
-5 + 3p = 0

Solving
-5 + 3p = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3p = 0 + 5
3p = 0 + 5

Combine like terms: 0 + 5 = 5
3p = 5

Add '-3p' to each side of the equation.
3p + -3p = 5 + -3p

Combine like terms: 3p + -3p = 0
0 = 5 + -3p

Simplifying
0 = 5 + -3p

The solution to this equation could not be determined.

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