4p^2+121-44p=0

Solution for 4p^2+121-44p=0 equation:

Simplifying
4p2 + 121 + -44p = 0

Reorder the terms:
121 + -44p + 4p2 = 0

Solving
121 + -44p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(11 + -2p)(11 + -2p) = 0

Subproblem 1
Set the factor '(11 + -2p)' equal to zero and attempt to solve:

Simplifying
11 + -2p = 0

Solving
11 + -2p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2p = 0 + -11
-2p = 0 + -11

Combine like terms: 0 + -11 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5
Subproblem 2
Set the factor '(11 + -2p)' equal to zero and attempt to solve:

Simplifying
11 + -2p = 0

Solving
11 + -2p = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2p = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2p = 0 + -11
-2p = 0 + -11

Combine like terms: 0 + -11 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5
Solution
p = {5.5, 5.5}