p(2p-5)=0

Solution for p(2p-5)=0 equation:

Simplifying
p(2p + -5) = 0

Reorder the terms:
p(-5 + 2p) = 0
(-5 * p + 2p * p) = 0
(-5p + 2p2) = 0

Solving
-5p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-5 + 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 '(-5 + 2p)' equal to zero and attempt to solve:

Simplifying
-5 + 2p = 0

Solving
-5 + 2p = 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 + 2p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2p = 0 + 5
2p = 0 + 5

Combine like terms: 0 + 5 = 5
2p = 5

Divide each side by '2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {0, 2.5}