45N+8N^2-18=

Solution for 45N+8N^2-18= equation:

Simplifying
45N + 8N2 + -18 = 0

Reorder the terms:
-18 + 45N + 8N2 = 0

Solving
-18 + 45N + 8N2 = 0

Solving for variable 'N'.

Factor a trinomial.
(-6 + -1N)(3 + -8N) = 0

Subproblem 1
Set the factor '(-6 + -1N)' equal to zero and attempt to solve:

Simplifying
-6 + -1N = 0

Solving
-6 + -1N = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1N = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1N = 0 + 6
-1N = 0 + 6

Combine like terms: 0 + 6 = 6
-1N = 6

Divide each side by '-1'.
N = -6

Simplifying
N = -6
Subproblem 2
Set the factor '(3 + -8N)' equal to zero and attempt to solve:

Simplifying
3 + -8N = 0

Solving
3 + -8N = 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 + -8N = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8N = 0 + -3
-8N = 0 + -3

Combine like terms: 0 + -3 = -3
-8N = -3

Divide each side by '-8'.
N = 0.375

Simplifying
N = 0.375
Solution
N = {-6, 0.375}