2n^2+41n+20=0

Solution for 2n^2+41n+20=0 equation:

Simplifying
2n2 + 41n + 20 = 0

Reorder the terms:
20 + 41n + 2n2 = 0

Solving
20 + 41n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(20 + n)(1 + 2n) = 0

Subproblem 1
Set the factor '(20 + n)' equal to zero and attempt to solve:

Simplifying
20 + n = 0

Solving
20 + n = 0

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

Add '-20' to each side of the equation.
20 + -20 + n = 0 + -20

Combine like terms: 20 + -20 = 0
0 + n = 0 + -20
n = 0 + -20

Combine like terms: 0 + -20 = -20
n = -20

Simplifying
n = -20
Subproblem 2
Set the factor '(1 + 2n)' equal to zero and attempt to solve:

Simplifying
1 + 2n = 0

Solving
1 + 2n = 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 + 2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 0 + -1
2n = 0 + -1

Combine like terms: 0 + -1 = -1
2n = -1

Divide each side by '2'.
n = -0.5

Simplifying
n = -0.5
Solution
n = {-20, -0.5}