7n^2-32n-15=0

Solution for 7n^2-32n-15=0 equation:

Simplifying
7n2 + -32n + -15 = 0

Reorder the terms:
-15 + -32n + 7n2 = 0

Solving
-15 + -32n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -7n)(5 + -1n) = 0

Subproblem 1
Set the factor '(-3 + -7n)' equal to zero and attempt to solve:

Simplifying
-3 + -7n = 0

Solving
-3 + -7n = 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 + -7n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7n = 0 + 3
-7n = 0 + 3

Combine like terms: 0 + 3 = 3
-7n = 3

Divide each side by '-7'.
n = -0.4285714286

Simplifying
n = -0.4285714286
Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 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 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {-0.4285714286, 5}