7k^2-23k+18=0

Solution for 7k^2-23k+18=0 equation:

Simplifying
7k2 + -23k + 18 = 0

Reorder the terms:
18 + -23k + 7k2 = 0

Solving
18 + -23k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(9 + -7k)(2 + -1k) = 0

Subproblem 1
Set the factor '(9 + -7k)' equal to zero and attempt to solve:

Simplifying
9 + -7k = 0

Solving
9 + -7k = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7k = 0 + -9
-7k = 0 + -9

Combine like terms: 0 + -9 = -9
-7k = -9

Divide each side by '-7'.
k = 1.285714286

Simplifying
k = 1.285714286
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {1.285714286, 2}