4N^2-23N+33=0

Solution for 4N^2-23N+33=0 equation:

Simplifying
4N2 + -23N + 33 = 0

Reorder the terms:
33 + -23N + 4N2 = 0

Solving
33 + -23N + 4N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(11 + -4N)(3 + -1N) = 0

Subproblem 1
Set the factor '(11 + -4N)' equal to zero and attempt to solve:

Simplifying
11 + -4N = 0

Solving
11 + -4N = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4N = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4N = 0 + -11
-4N = 0 + -11

Combine like terms: 0 + -11 = -11
-4N = -11

Divide each side by '-4'.
N = 2.75

Simplifying
N = 2.75
Subproblem 2
Set the factor '(3 + -1N)' equal to zero and attempt to solve:

Simplifying
3 + -1N = 0

Solving
3 + -1N = 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 + -1N = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1N = 0 + -3
-1N = 0 + -3

Combine like terms: 0 + -3 = -3
-1N = -3

Divide each side by '-1'.
N = 3

Simplifying
N = 3
Solution
N = {2.75, 3}