3p^2-412p+10609=0

Solution for 3p^2-412p+10609=0 equation:

Simplifying
3p2 + -412p + 10609 = 0

Reorder the terms:
10609 + -412p + 3p2 = 0

Solving
10609 + -412p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(103 + -3p)(103 + -1p) = 0

Subproblem 1
Set the factor '(103 + -3p)' equal to zero and attempt to solve:

Simplifying
103 + -3p = 0

Solving
103 + -3p = 0

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

Add '-103' to each side of the equation.
103 + -103 + -3p = 0 + -103

Combine like terms: 103 + -103 = 0
0 + -3p = 0 + -103
-3p = 0 + -103

Combine like terms: 0 + -103 = -103
-3p = -103

Divide each side by '-3'.
p = 34.33333333

Simplifying
p = 34.33333333
Subproblem 2
Set the factor '(103 + -1p)' equal to zero and attempt to solve:

Simplifying
103 + -1p = 0

Solving
103 + -1p = 0

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

Add '-103' to each side of the equation.
103 + -103 + -1p = 0 + -103

Combine like terms: 103 + -103 = 0
0 + -1p = 0 + -103
-1p = 0 + -103

Combine like terms: 0 + -103 = -103
-1p = -103

Divide each side by '-1'.
p = 103

Simplifying
p = 103
Solution
p = {34.33333333, 103}