3p^2-424p+11236=0

Solution for 3p^2-424p+11236=0 equation:

Simplifying
3p2 + -424p + 11236 = 0

Reorder the terms:
11236 + -424p + 3p2 = 0

Solving
11236 + -424p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(106 + -3p)(106 + -1p) = 0

Subproblem 1
Set the factor '(106 + -3p)' equal to zero and attempt to solve:

Simplifying
106 + -3p = 0

Solving
106 + -3p = 0

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

Add '-106' to each side of the equation.
106 + -106 + -3p = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -3p = 0 + -106
-3p = 0 + -106

Combine like terms: 0 + -106 = -106
-3p = -106

Divide each side by '-3'.
p = 35.33333333

Simplifying
p = 35.33333333
Subproblem 2
Set the factor '(106 + -1p)' equal to zero and attempt to solve:

Simplifying
106 + -1p = 0

Solving
106 + -1p = 0

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

Add '-106' to each side of the equation.
106 + -106 + -1p = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -1p = 0 + -106
-1p = 0 + -106

Combine like terms: 0 + -106 = -106
-1p = -106

Divide each side by '-1'.
p = 106

Simplifying
p = 106
Solution
p = {35.33333333, 106}