18n^2+53n-35=0

Solution for 18n^2+53n-35=0 equation:

Simplifying
18n2 + 53n + -35 = 0

Reorder the terms:
-35 + 53n + 18n2 = 0

Solving
-35 + 53n + 18n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -2n)(5 + -9n) = 0

Subproblem 1
Set the factor '(-7 + -2n)' equal to zero and attempt to solve:

Simplifying
-7 + -2n = 0

Solving
-7 + -2n = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2n = 0 + 7
-2n = 0 + 7

Combine like terms: 0 + 7 = 7
-2n = 7

Divide each side by '-2'.
n = -3.5

Simplifying
n = -3.5
Subproblem 2
Set the factor '(5 + -9n)' equal to zero and attempt to solve:

Simplifying
5 + -9n = 0

Solving
5 + -9n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9n = 0 + -5
-9n = 0 + -5

Combine like terms: 0 + -5 = -5
-9n = -5

Divide each side by '-9'.
n = 0.5555555556

Simplifying
n = 0.5555555556
Solution
n = {-3.5, 0.5555555556}