p^2-65p+784=0

Solution for p^2-65p+784=0 equation:

Simplifying
p2 + -65p + 784 = 0

Reorder the terms:
784 + -65p + p2 = 0

Solving
784 + -65p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(16 + -1p)(49 + -1p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(49 + -1p)' equal to zero and attempt to solve:

Simplifying
49 + -1p = 0

Solving
49 + -1p = 0

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

Add '-49' to each side of the equation.
49 + -49 + -1p = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -1p = 0 + -49
-1p = 0 + -49

Combine like terms: 0 + -49 = -49
-1p = -49

Divide each side by '-1'.
p = 49

Simplifying
p = 49
Solution
p = {16, 49}