5p^2+9p-80=0

Solution for 5p^2+9p-80=0 equation:

Simplifying
5p2 + 9p + -80 = 0

Reorder the terms:
-80 + 9p + 5p2 = 0

Solving
-80 + 9p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -1p)(16 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(16 + -5p)' equal to zero and attempt to solve:

Simplifying
16 + -5p = 0

Solving
16 + -5p = 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 + -5p = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5p = 0 + -16
-5p = 0 + -16

Combine like terms: 0 + -16 = -16
-5p = -16

Divide each side by '-5'.
p = 3.2

Simplifying
p = 3.2
Solution
p = {-5, 3.2}