10k^2-39k-4=0

Solution for 10k^2-39k-4=0 equation:

Simplifying
10k2 + -39k + -4 = 0

Reorder the terms:
-4 + -39k + 10k2 = 0

Solving
-4 + -39k + 10k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1 + -10k)(4 + -1k) = 0

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

Simplifying
-1 + -10k = 0

Solving
-1 + -10k = 0

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

Add '1' to each side of the equation.
-1 + 1 + -10k = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -10k = 0 + 1
-10k = 0 + 1

Combine like terms: 0 + 1 = 1
-10k = 1

Divide each side by '-10'.
k = -0.1

Simplifying
k = -0.1
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 = {-0.1, 4}