4n^2+5n-450=0

Solution for 4n^2+5n-450=0 equation:

Simplifying
4n2 + 5n + -450 = 0

Reorder the terms:
-450 + 5n + 4n2 = 0

Solving
-450 + 5n + 4n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-45 + -4n)(10 + -1n) = 0

Subproblem 1
Set the factor '(-45 + -4n)' equal to zero and attempt to solve:

Simplifying
-45 + -4n = 0

Solving
-45 + -4n = 0

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

Add '45' to each side of the equation.
-45 + 45 + -4n = 0 + 45

Combine like terms: -45 + 45 = 0
0 + -4n = 0 + 45
-4n = 0 + 45

Combine like terms: 0 + 45 = 45
-4n = 45

Divide each side by '-4'.
n = -11.25

Simplifying
n = -11.25
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 = {-11.25, 10}