10n^2-11n=6

Solution for 10n^2-11n=6 equation:

Simplifying
10n2 + -11n = 6

Reorder the terms:
-11n + 10n2 = 6

Solving
-11n + 10n2 = 6

Solving for variable 'n'.

Reorder the terms:
-6 + -11n + 10n2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -11n + 10n2 = 0

Factor a trinomial.
(-2 + -5n)(3 + -2n) = 0

Subproblem 1
Set the factor '(-2 + -5n)' equal to zero and attempt to solve:

Simplifying
-2 + -5n = 0

Solving
-2 + -5n = 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 + -5n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5n = 0 + 2
-5n = 0 + 2

Combine like terms: 0 + 2 = 2
-5n = 2

Divide each side by '-5'.
n = -0.4

Simplifying
n = -0.4
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 = {-0.4, 1.5}