8p^2+41p-184=0

Solution for 8p^2+41p-184=0 equation:

Simplifying
8p2 + 41p + -184 = 0

Reorder the terms:
-184 + 41p + 8p2 = 0

Solving
-184 + 41p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-8 + -1p)(23 + -8p) = 0

Subproblem 1
Set the factor '(-8 + -1p)' equal to zero and attempt to solve:

Simplifying
-8 + -1p = 0

Solving
-8 + -1p = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1p = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1p = 0 + 8
-1p = 0 + 8

Combine like terms: 0 + 8 = 8
-1p = 8

Divide each side by '-1'.
p = -8

Simplifying
p = -8
Subproblem 2
Set the factor '(23 + -8p)' equal to zero and attempt to solve:

Simplifying
23 + -8p = 0

Solving
23 + -8p = 0

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

Add '-23' to each side of the equation.
23 + -23 + -8p = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -8p = 0 + -23
-8p = 0 + -23

Combine like terms: 0 + -23 = -23
-8p = -23

Divide each side by '-8'.
p = 2.875

Simplifying
p = 2.875
Solution
p = {-8, 2.875}