x^2-3px+2p^2=0

Solution for x^2-3px+2p^2=0 equation:

Simplifying
x2 + -3px + 2p2 = 0

Reorder the terms:
-3px + 2p2 + x2 = 0

Solving
-3px + 2p2 + x2 = 0

Solving for variable 'p'.

Factor a trinomial.
(p + -1x)(2p + -1x) = 0

Subproblem 1
Set the factor '(p + -1x)' equal to zero and attempt to solve:

Simplifying
p + -1x = 0

Solving
p + -1x = 0

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

Add 'x' to each side of the equation.
p + -1x + x = 0 + x

Combine like terms: -1x + x = 0
p + 0 = 0 + x
p = 0 + x
Remove the zero:
p = x

Simplifying
p = x
Subproblem 2
Set the factor '(2p + -1x)' equal to zero and attempt to solve:

Simplifying
2p + -1x = 0

Solving
2p + -1x = 0

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

Add 'x' to each side of the equation.
2p + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2p + 0 = 0 + x
2p = 0 + x
Remove the zero:
2p = x

Divide each side by '2'.
p = 0.5x

Simplifying
p = 0.5x
Solution
p = {x, 0.5x}