7k^2-32k-60=0

Solution for 7k^2-32k-60=0 equation:

Simplifying
7k2 + -32k + -60 = 0

Reorder the terms:
-60 + -32k + 7k2 = 0

Solving
-60 + -32k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-10 + -7k)(6 + -1k) = 0

Subproblem 1
Set the factor '(-10 + -7k)' equal to zero and attempt to solve:

Simplifying
-10 + -7k = 0

Solving
-10 + -7k = 0

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

Add '10' to each side of the equation.
-10 + 10 + -7k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7k = 0 + 10
-7k = 0 + 10

Combine like terms: 0 + 10 = 10
-7k = 10

Divide each side by '-7'.
k = -1.428571429

Simplifying
k = -1.428571429
Subproblem 2
Set the factor '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

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

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

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

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

Simplifying
k = 6
Solution
k = {-1.428571429, 6}