7k^2-23k-20=0

Solution for 7k^2-23k-20=0 equation:

Simplifying
7k2 + -23k + -20 = 0

Reorder the terms:
-20 + -23k + 7k2 = 0

Solving
-20 + -23k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-5 + -7k)(4 + -1k) = 0

Subproblem 1
Set the factor '(-5 + -7k)' equal to zero and attempt to solve:

Simplifying
-5 + -7k = 0

Solving
-5 + -7k = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7k = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7k = 0 + 5
-7k = 0 + 5

Combine like terms: 0 + 5 = 5
-7k = 5

Divide each side by '-7'.
k = -0.7142857143

Simplifying
k = -0.7142857143
Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {-0.7142857143, 4}