2p^2=3p

Solution for 2p^2=3p equation:

Simplifying
2p2 = 3p

Solving
2p2 = 3p

Solving for variable 'p'.

Reorder the terms:
-3p + 2p2 = 3p + -3p

Combine like terms: 3p + -3p = 0
-3p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), 'p'.
p(-3 + 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 '(-3 + 2p)' equal to zero and attempt to solve:

Simplifying
-3 + 2p = 0

Solving
-3 + 2p = 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 + 2p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2p = 0 + 3
2p = 0 + 3

Combine like terms: 0 + 3 = 3
2p = 3

Divide each side by '2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {0, 1.5}