n^2-15n=2200

Solution for n^2-15n=2200 equation:

Simplifying
n2 + -15n = 2200

Reorder the terms:
-15n + n2 = 2200

Solving
-15n + n2 = 2200

Solving for variable 'n'.

Reorder the terms:
-2200 + -15n + n2 = 2200 + -2200

Combine like terms: 2200 + -2200 = 0
-2200 + -15n + n2 = 0

Factor a trinomial.
(-40 + -1n)(55 + -1n) = 0

Subproblem 1
Set the factor '(-40 + -1n)' equal to zero and attempt to solve:

Simplifying
-40 + -1n = 0

Solving
-40 + -1n = 0

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

Add '40' to each side of the equation.
-40 + 40 + -1n = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -1n = 0 + 40
-1n = 0 + 40

Combine like terms: 0 + 40 = 40
-1n = 40

Divide each side by '-1'.
n = -40

Simplifying
n = -40
Subproblem 2
Set the factor '(55 + -1n)' equal to zero and attempt to solve:

Simplifying
55 + -1n = 0

Solving
55 + -1n = 0

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

Add '-55' to each side of the equation.
55 + -55 + -1n = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -1n = 0 + -55
-1n = 0 + -55

Combine like terms: 0 + -55 = -55
-1n = -55

Divide each side by '-1'.
n = 55

Simplifying
n = 55
Solution
n = {-40, 55}