21k^2-10k-24=0

Solution for 21k^2-10k-24=0 equation:

Simplifying
21k2 + -10k + -24 = 0

Reorder the terms:
-24 + -10k + 21k2 = 0

Solving
-24 + -10k + 21k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -7k)(4 + -3k) = 0

Subproblem 1
Set the factor '(-6 + -7k)' equal to zero and attempt to solve:

Simplifying
-6 + -7k = 0

Solving
-6 + -7k = 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 + -7k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7k = 0 + 6
-7k = 0 + 6

Combine like terms: 0 + 6 = 6
-7k = 6

Divide each side by '-7'.
k = -0.8571428571

Simplifying
k = -0.8571428571
Subproblem 2
Set the factor '(4 + -3k)' equal to zero and attempt to solve:

Simplifying
4 + -3k = 0

Solving
4 + -3k = 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 + -3k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 0 + -4
-3k = 0 + -4

Combine like terms: 0 + -4 = -4
-3k = -4

Divide each side by '-3'.
k = 1.333333333

Simplifying
k = 1.333333333
Solution
k = {-0.8571428571, 1.333333333}