6n^2+11n-30=0

Solution for 6n^2+11n-30=0 equation:

Simplifying
6n2 + 11n + -30 = 0

Reorder the terms:
-30 + 11n + 6n2 = 0

Solving
-30 + 11n + 6n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-10 + -3n)(3 + -2n) = 0

Subproblem 1
Set the factor '(-10 + -3n)' equal to zero and attempt to solve:

Simplifying
-10 + -3n = 0

Solving
-10 + -3n = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3n = 0 + 10
-3n = 0 + 10

Combine like terms: 0 + 10 = 10
-3n = 10

Divide each side by '-3'.
n = -3.333333333

Simplifying
n = -3.333333333
Subproblem 2
Set the factor '(3 + -2n)' equal to zero and attempt to solve:

Simplifying
3 + -2n = 0

Solving
3 + -2n = 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 + -2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2n = 0 + -3
-2n = 0 + -3

Combine like terms: 0 + -3 = -3
-2n = -3

Divide each side by '-2'.
n = 1.5

Simplifying
n = 1.5
Solution
n = {-3.333333333, 1.5}