p^2-19p+48=0

Solution for p^2-19p+48=0 equation:

Simplifying
p2 + -19p + 48 = 0

Reorder the terms:
48 + -19p + p2 = 0

Solving
48 + -19p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(3 + -1p)(16 + -1p) = 0

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

Simplifying
3 + -1p = 0

Solving
3 + -1p = 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 + -1p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1p = 0 + -3
-1p = 0 + -3

Combine like terms: 0 + -3 = -3
-1p = -3

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Subproblem 2
Set the factor '(16 + -1p)' equal to zero and attempt to solve:

Simplifying
16 + -1p = 0

Solving
16 + -1p = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1p = 0 + -16
-1p = 0 + -16

Combine like terms: 0 + -16 = -16
-1p = -16

Divide each side by '-1'.
p = 16

Simplifying
p = 16
Solution
p = {3, 16}