7n^2+13n-18150=0

Solution for 7n^2+13n-18150=0 equation:

Simplifying
7n2 + 13n + -18150 = 0

Reorder the terms:
-18150 + 13n + 7n2 = 0

Solving
-18150 + 13n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-363 + -7n)(50 + -1n) = 0

Subproblem 1
Set the factor '(-363 + -7n)' equal to zero and attempt to solve:

Simplifying
-363 + -7n = 0

Solving
-363 + -7n = 0

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

Add '363' to each side of the equation.
-363 + 363 + -7n = 0 + 363

Combine like terms: -363 + 363 = 0
0 + -7n = 0 + 363
-7n = 0 + 363

Combine like terms: 0 + 363 = 363
-7n = 363

Divide each side by '-7'.
n = -51.85714286

Simplifying
n = -51.85714286
Subproblem 2
Set the factor '(50 + -1n)' equal to zero and attempt to solve:

Simplifying
50 + -1n = 0

Solving
50 + -1n = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1n = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1n = 0 + -50
-1n = 0 + -50

Combine like terms: 0 + -50 = -50
-1n = -50

Divide each side by '-1'.
n = 50

Simplifying
n = 50
Solution
n = {-51.85714286, 50}