-3n^2-11n+12=-5n^2

Solution for -3n^2-11n+12=-5n^2 equation:

Simplifying
-3n2 + -11n + 12 = -5n2

Reorder the terms:
12 + -11n + -3n2 = -5n2

Solving
12 + -11n + -3n2 = -5n2

Solving for variable 'n'.

Combine like terms: -3n2 + 5n2 = 2n2
12 + -11n + 2n2 = -5n2 + 5n2

Combine like terms: -5n2 + 5n2 = 0
12 + -11n + 2n2 = 0

Factor a trinomial.
(3 + -2n)(4 + -1n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 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 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4
Solution
n = {1.5, 4}