-9n^2+38n-8=0

Solution for -9n^2+38n-8=0 equation:

Simplifying
-9n2 + 38n + -8 = 0

Reorder the terms:
-8 + 38n + -9n2 = 0

Solving
-8 + 38n + -9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-4 + n)(2 + -9n) = 0

Subproblem 1
Set the factor '(-4 + n)' equal to zero and attempt to solve:

Simplifying
-4 + n = 0

Solving
-4 + n = 0

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

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

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

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

Simplifying
n = 4
Subproblem 2
Set the factor '(2 + -9n)' equal to zero and attempt to solve:

Simplifying
2 + -9n = 0

Solving
2 + -9n = 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 + -9n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9n = 0 + -2
-9n = 0 + -2

Combine like terms: 0 + -2 = -2
-9n = -2

Divide each side by '-9'.
n = 0.2222222222

Simplifying
n = 0.2222222222
Solution
n = {4, 0.2222222222}