4p^2+164p+81=0

Solution for 4p^2+164p+81=0 equation:

Simplifying
4p2 + 164p + 81 = 0

Reorder the terms:
81 + 164p + 4p2 = 0

Solving
81 + 164p + 4p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(81 + 2p)(1 + 2p) = 0

Subproblem 1
Set the factor '(81 + 2p)' equal to zero and attempt to solve:

Simplifying
81 + 2p = 0

Solving
81 + 2p = 0

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

Add '-81' to each side of the equation.
81 + -81 + 2p = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 2p = 0 + -81
2p = 0 + -81

Combine like terms: 0 + -81 = -81
2p = -81

Divide each side by '2'.
p = -40.5

Simplifying
p = -40.5
Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-40.5, -0.5}