4n^2-5n-636=0

Solution for 4n^2-5n-636=0 equation:

Simplifying
4n2 + -5n + -636 = 0

Reorder the terms:
-636 + -5n + 4n2 = 0

Solving
-636 + -5n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-12 + -1n)(53 + -4n) = 0

Subproblem 1
Set the factor '(-12 + -1n)' equal to zero and attempt to solve:

Simplifying
-12 + -1n = 0

Solving
-12 + -1n = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1n = 0 + 12
-1n = 0 + 12

Combine like terms: 0 + 12 = 12
-1n = 12

Divide each side by '-1'.
n = -12

Simplifying
n = -12
Subproblem 2
Set the factor '(53 + -4n)' equal to zero and attempt to solve:

Simplifying
53 + -4n = 0

Solving
53 + -4n = 0

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

Add '-53' to each side of the equation.
53 + -53 + -4n = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -4n = 0 + -53
-4n = 0 + -53

Combine like terms: 0 + -53 = -53
-4n = -53

Divide each side by '-4'.
n = 13.25

Simplifying
n = 13.25
Solution
n = {-12, 13.25}