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

Subproblem 1
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
Subproblem 2
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
Solution
n = {-13.25, 12}