2p^2+5p=0

Solution for 2p^2+5p=0 equation:

Simplifying
2p2 + 5p = 0

Reorder the terms:
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}