13n^2+16n+3=

Solution for 13n^2+16n+3= equation:

Simplifying
13n2 + 16n + 3 = 0

Reorder the terms:
3 + 16n + 13n2 = 0

Solving
3 + 16n + 13n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + n)(3 + 13n) = 0

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

Simplifying
1 + n = 0

Solving
1 + n = 0

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

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

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

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

Simplifying
n = -1
Subproblem 2
Set the factor '(3 + 13n)' equal to zero and attempt to solve:

Simplifying
3 + 13n = 0

Solving
3 + 13n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 13n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 13n = 0 + -3
13n = 0 + -3

Combine like terms: 0 + -3 = -3
13n = -3

Divide each side by '13'.
n = -0.2307692308

Simplifying
n = -0.2307692308
Solution
n = {-1, -0.2307692308}