5p^2+13p=-8

Solution for 5p^2+13p=-8 equation:

Simplifying
5p2 + 13p = -8

Reorder the terms:
13p + 5p2 = -8

Solving
13p + 5p2 = -8

Solving for variable 'p'.

Reorder the terms:
8 + 13p + 5p2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 13p + 5p2 = 0

Factor a trinomial.
(8 + 5p)(1 + p) = 0

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

Simplifying
1 + p = 0

Solving
1 + p = 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 + p = 0 + -1

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

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

Simplifying
p = -1
Solution
p = {-1.6, -1}