n^2-4n-56=4

Solution for n^2-4n-56=4 equation:

Simplifying
n2 + -4n + -56 = 4

Reorder the terms:
-56 + -4n + n2 = 4

Solving
-56 + -4n + n2 = 4

Solving for variable 'n'.

Reorder the terms:
-56 + -4 + -4n + n2 = 4 + -4

Combine like terms: -56 + -4 = -60
-60 + -4n + n2 = 4 + -4

Combine like terms: 4 + -4 = 0
-60 + -4n + n2 = 0

Factor a trinomial.
(-6 + -1n)(10 + -1n) = 0

Subproblem 1
Set the factor '(-6 + -1n)' equal to zero and attempt to solve:

Simplifying
-6 + -1n = 0

Solving
-6 + -1n = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = 0 + 6
-1n = 0 + 6

Combine like terms: 0 + 6 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6
Subproblem 2
Set the factor '(10 + -1n)' equal to zero and attempt to solve:

Simplifying
10 + -1n = 0

Solving
10 + -1n = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 0 + -10
-1n = 0 + -10

Combine like terms: 0 + -10 = -10
-1n = -10

Divide each side by '-1'.
n = 10

Simplifying
n = 10
Solution
n = {-6, 10}