p(5p-3)=0

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

Simplifying
p(5p + -3) = 0

Reorder the terms:
p(-3 + 5p) = 0
(-3 * p + 5p * p) = 0
(-3p + 5p2) = 0

Solving
-3p + 5p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-3 + 5p) = 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 '(-3 + 5p)' equal to zero and attempt to solve:

Simplifying
-3 + 5p = 0

Solving
-3 + 5p = 0

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

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

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

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

Divide each side by '5'.
p = 0.6

Simplifying
p = 0.6
Solution
p = {0, 0.6}