5p^2+58p+80=0

Solution for 5p^2+58p+80=0 equation:

Simplifying
5p2 + 58p + 80 = 0

Reorder the terms:
80 + 58p + 5p2 = 0

Solving
80 + 58p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(10 + p)(8 + 5p) = 0

Subproblem 1
Set the factor '(10 + p)' equal to zero and attempt to solve:

Simplifying
10 + p = 0

Solving
10 + p = 0

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

Add '-10' to each side of the equation.
10 + -10 + p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + p = 0 + -10
p = 0 + -10

Combine like terms: 0 + -10 = -10
p = -10

Simplifying
p = -10
Subproblem 2
Set the factor '(8 + 5p)' equal to zero and attempt to solve:

Simplifying
8 + 5p = 0

Solving
8 + 5p = 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 + 5p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5p = 0 + -8
5p = 0 + -8

Combine like terms: 0 + -8 = -8
5p = -8

Divide each side by '5'.
p = -1.6

Simplifying
p = -1.6
Solution
p = {-10, -1.6}