2n^2+37n-19=0

Solution for 2n^2+37n-19=0 equation:

Simplifying
2n2 + 37n + -19 = 0

Reorder the terms:
-19 + 37n + 2n2 = 0

Solving
-19 + 37n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-19 + -1n)(1 + -2n) = 0

Subproblem 1
Set the factor '(-19 + -1n)' equal to zero and attempt to solve:

Simplifying
-19 + -1n = 0

Solving
-19 + -1n = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1n = 0 + 19
-1n = 0 + 19

Combine like terms: 0 + 19 = 19
-1n = 19

Divide each side by '-1'.
n = -19

Simplifying
n = -19
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 = {-19, 0.5}