9n^2+50n+64=

Solution for 9n^2+50n+64= equation:

Simplifying
9n2 + 50n + 64 = 0

Reorder the terms:
64 + 50n + 9n2 = 0

Solving
64 + 50n + 9n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(32 + 9n)(2 + n) = 0

Subproblem 1
Set the factor '(32 + 9n)' equal to zero and attempt to solve:

Simplifying
32 + 9n = 0

Solving
32 + 9n = 0

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

Add '-32' to each side of the equation.
32 + -32 + 9n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 9n = 0 + -32
9n = 0 + -32

Combine like terms: 0 + -32 = -32
9n = -32

Divide each side by '9'.
n = -3.555555556

Simplifying
n = -3.555555556
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Solution
n = {-3.555555556, -2}