9n^2+20n-34=-5

Solution for 9n^2+20n-34=-5 equation:

Simplifying
9n2 + 20n + -34 = -5

Reorder the terms:
-34 + 20n + 9n2 = -5

Solving
-34 + 20n + 9n2 = -5

Solving for variable 'n'.

Reorder the terms:
-34 + 5 + 20n + 9n2 = -5 + 5

Combine like terms: -34 + 5 = -29
-29 + 20n + 9n2 = -5 + 5

Combine like terms: -5 + 5 = 0
-29 + 20n + 9n2 = 0

Factor a trinomial.
(-29 + -9n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-29 + -9n)' equal to zero and attempt to solve:

Simplifying
-29 + -9n = 0

Solving
-29 + -9n = 0

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

Add '29' to each side of the equation.
-29 + 29 + -9n = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -9n = 0 + 29
-9n = 0 + 29

Combine like terms: 0 + 29 = 29
-9n = 29

Divide each side by '-9'.
n = -3.222222222

Simplifying
n = -3.222222222
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

Simplifying
n = 1
Solution
n = {-3.222222222, 1}