7k^2-34k+24=0

Solution for 7k^2-34k+24=0 equation:

Simplifying
7k2 + -34k + 24 = 0

Reorder the terms:
24 + -34k + 7k2 = 0

Solving
24 + -34k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(6 + -7k)(4 + -1k) = 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 + -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 = {0.8571428571, 4}