n^2+2.00n-1848=0

Solution for n^2+2.00n-1848=0 equation:

Simplifying
n2 + 2.00n + -1848 = 0

Reorder the terms:
-1848 + 2.00n + n2 = 0

Solving
-1848 + 2.00n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-44 + -1n)(42 + -1n) = 0

Subproblem 1
Set the factor '(-44 + -1n)' equal to zero and attempt to solve:

Simplifying
-44 + -1n = 0

Solving
-44 + -1n = 0

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

Add '44' to each side of the equation.
-44 + 44 + -1n = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -1n = 0 + 44
-1n = 0 + 44

Combine like terms: 0 + 44 = 44
-1n = 44

Divide each side by '-1'.
n = -44

Simplifying
n = -44
Subproblem 2
Set the factor '(42 + -1n)' equal to zero and attempt to solve:

Simplifying
42 + -1n = 0

Solving
42 + -1n = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1n = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1n = 0 + -42
-1n = 0 + -42

Combine like terms: 0 + -42 = -42
-1n = -42

Divide each side by '-1'.
n = 42

Simplifying
n = 42
Solution
n = {-44, 42}