0=-10-4n^2-13n

Solution for 0=-10-4n^2-13n equation:

Simplifying
0 = -10 + -4n2 + -13n

Reorder the terms:
0 = -10 + -13n + -4n2

Solving
0 = -10 + -13n + -4n2

Solving for variable 'n'.

Combine like terms: 0 + 10 = 10
10 + 13n + 4n2 = -10 + -13n + -4n2 + 10 + 13n + 4n2

Reorder the terms:
10 + 13n + 4n2 = -10 + 10 + -13n + 13n + -4n2 + 4n2

Combine like terms: -10 + 10 = 0
10 + 13n + 4n2 = 0 + -13n + 13n + -4n2 + 4n2
10 + 13n + 4n2 = -13n + 13n + -4n2 + 4n2

Combine like terms: -13n + 13n = 0
10 + 13n + 4n2 = 0 + -4n2 + 4n2
10 + 13n + 4n2 = -4n2 + 4n2

Combine like terms: -4n2 + 4n2 = 0
10 + 13n + 4n2 = 0

Factor a trinomial.
(2 + n)(5 + 4n) = 0

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

Simplifying
2 + n = 0

Solving
2 + n = 0

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

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

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Subproblem 2
Set the factor '(5 + 4n)' equal to zero and attempt to solve:

Simplifying
5 + 4n = 0

Solving
5 + 4n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4n = 0 + -5
4n = 0 + -5

Combine like terms: 0 + -5 = -5
4n = -5

Divide each side by '4'.
n = -1.25

Simplifying
n = -1.25
Solution
n = {-2, -1.25}