n^2-2n-4=3595

Solution for n^2-2n-4=3595 equation:

Simplifying
n2 + -2n + -4 = 3595

Reorder the terms:
-4 + -2n + n2 = 3595

Solving
-4 + -2n + n2 = 3595

Solving for variable 'n'.

Reorder the terms:
-4 + -3595 + -2n + n2 = 3595 + -3595

Combine like terms: -4 + -3595 = -3599
-3599 + -2n + n2 = 3595 + -3595

Combine like terms: 3595 + -3595 = 0
-3599 + -2n + n2 = 0

Factor a trinomial.
(-59 + -1n)(61 + -1n) = 0

Subproblem 1
Set the factor '(-59 + -1n)' equal to zero and attempt to solve:

Simplifying
-59 + -1n = 0

Solving
-59 + -1n = 0

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

Add '59' to each side of the equation.
-59 + 59 + -1n = 0 + 59

Combine like terms: -59 + 59 = 0
0 + -1n = 0 + 59
-1n = 0 + 59

Combine like terms: 0 + 59 = 59
-1n = 59

Divide each side by '-1'.
n = -59

Simplifying
n = -59
Subproblem 2
Set the factor '(61 + -1n)' equal to zero and attempt to solve:

Simplifying
61 + -1n = 0

Solving
61 + -1n = 0

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

Add '-61' to each side of the equation.
61 + -61 + -1n = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1n = 0 + -61
-1n = 0 + -61

Combine like terms: 0 + -61 = -61
-1n = -61

Divide each side by '-1'.
n = 61

Simplifying
n = 61
Solution
n = {-59, 61}