4n^2-9n-63=0

Solution for 4n^2-9n-63=0 equation:

Simplifying
4n2 + -9n + -63 = 0

Reorder the terms:
-63 + -9n + 4n2 = 0

Solving
-63 + -9n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -1n)(21 + -4n) = 0

Subproblem 1
Set the factor '(-3 + -1n)' equal to zero and attempt to solve:

Simplifying
-3 + -1n = 0

Solving
-3 + -1n = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = 0 + 3
-1n = 0 + 3

Combine like terms: 0 + 3 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3
Subproblem 2
Set the factor '(21 + -4n)' equal to zero and attempt to solve:

Simplifying
21 + -4n = 0

Solving
21 + -4n = 0

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

Add '-21' to each side of the equation.
21 + -21 + -4n = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4n = 0 + -21
-4n = 0 + -21

Combine like terms: 0 + -21 = -21
-4n = -21

Divide each side by '-4'.
n = 5.25

Simplifying
n = 5.25
Solution
n = {-3, 5.25}