9n^2+94n-168=0

Solution for 9n^2+94n-168=0 equation:

Simplifying
9n2 + 94n + -168 = 0

Reorder the terms:
-168 + 94n + 9n2 = 0

Solving
-168 + 94n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-12 + -1n)(14 + -9n) = 0

Subproblem 1
Set the factor '(-12 + -1n)' equal to zero and attempt to solve:

Simplifying
-12 + -1n = 0

Solving
-12 + -1n = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1n = 0 + 12
-1n = 0 + 12

Combine like terms: 0 + 12 = 12
-1n = 12

Divide each side by '-1'.
n = -12

Simplifying
n = -12
Subproblem 2
Set the factor '(14 + -9n)' equal to zero and attempt to solve:

Simplifying
14 + -9n = 0

Solving
14 + -9n = 0

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

Add '-14' to each side of the equation.
14 + -14 + -9n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9n = 0 + -14
-9n = 0 + -14

Combine like terms: 0 + -14 = -14
-9n = -14

Divide each side by '-9'.
n = 1.555555556

Simplifying
n = 1.555555556
Solution
n = {-12, 1.555555556}