n^2+4n-2700=0

Solution for n^2+4n-2700=0 equation:

Simplifying
n2 + 4n + -2700 = 0

Reorder the terms:
-2700 + 4n + n2 = 0

Solving
-2700 + 4n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-54 + -1n)(50 + -1n) = 0

Subproblem 1
Set the factor '(-54 + -1n)' equal to zero and attempt to solve:

Simplifying
-54 + -1n = 0

Solving
-54 + -1n = 0

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

Add '54' to each side of the equation.
-54 + 54 + -1n = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -1n = 0 + 54
-1n = 0 + 54

Combine like terms: 0 + 54 = 54
-1n = 54

Divide each side by '-1'.
n = -54

Simplifying
n = -54
Subproblem 2
Set the factor '(50 + -1n)' equal to zero and attempt to solve:

Simplifying
50 + -1n = 0

Solving
50 + -1n = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1n = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1n = 0 + -50
-1n = 0 + -50

Combine like terms: 0 + -50 = -50
-1n = -50

Divide each side by '-1'.
n = 50

Simplifying
n = 50
Solution
n = {-54, 50}