n^2-n-756=0

Solution for n^2-n-756=0 equation:

Simplifying
n2 + -1n + -756 = 0

Reorder the terms:
-756 + -1n + n2 = 0

Solving
-756 + -1n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-27 + -1n)(28 + -1n) = 0

Subproblem 1
Set the factor '(-27 + -1n)' equal to zero and attempt to solve:

Simplifying
-27 + -1n = 0

Solving
-27 + -1n = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1n = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1n = 0 + 27
-1n = 0 + 27

Combine like terms: 0 + 27 = 27
-1n = 27

Divide each side by '-1'.
n = -27

Simplifying
n = -27
Subproblem 2
Set the factor '(28 + -1n)' equal to zero and attempt to solve:

Simplifying
28 + -1n = 0

Solving
28 + -1n = 0

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

Add '-28' to each side of the equation.
28 + -28 + -1n = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -1n = 0 + -28
-1n = 0 + -28

Combine like terms: 0 + -28 = -28
-1n = -28

Divide each side by '-1'.
n = 28

Simplifying
n = 28
Solution
n = {-27, 28}