p^2-3800p+2400000=0

Solution for p^2-3800p+2400000=0 equation:

Simplifying
p2 + -3800p + 2400000 = 0

Reorder the terms:
2400000 + -3800p + p2 = 0

Solving
2400000 + -3800p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(800 + -1p)(3000 + -1p) = 0

Subproblem 1
Set the factor '(800 + -1p)' equal to zero and attempt to solve:

Simplifying
800 + -1p = 0

Solving
800 + -1p = 0

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

Add '-800' to each side of the equation.
800 + -800 + -1p = 0 + -800

Combine like terms: 800 + -800 = 0
0 + -1p = 0 + -800
-1p = 0 + -800

Combine like terms: 0 + -800 = -800
-1p = -800

Divide each side by '-1'.
p = 800

Simplifying
p = 800
Subproblem 2
Set the factor '(3000 + -1p)' equal to zero and attempt to solve:

Simplifying
3000 + -1p = 0

Solving
3000 + -1p = 0

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

Add '-3000' to each side of the equation.
3000 + -3000 + -1p = 0 + -3000

Combine like terms: 3000 + -3000 = 0
0 + -1p = 0 + -3000
-1p = 0 + -3000

Combine like terms: 0 + -3000 = -3000
-1p = -3000

Divide each side by '-1'.
p = 3000

Simplifying
p = 3000
Solution
p = {800, 3000}