14k^2-9k=18

Solution for 14k^2-9k=18 equation:

Simplifying
14k2 + -9k = 18

Reorder the terms:
-9k + 14k2 = 18

Solving
-9k + 14k2 = 18

Solving for variable 'k'.

Reorder the terms:
-18 + -9k + 14k2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -9k + 14k2 = 0

Factor a trinomial.
(-6 + -7k)(3 + -2k) = 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 '(3 + -2k)' equal to zero and attempt to solve:

Simplifying
3 + -2k = 0

Solving
3 + -2k = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2k = 0 + -3
-2k = 0 + -3

Combine like terms: 0 + -3 = -3
-2k = -3

Divide each side by '-2'.
k = 1.5

Simplifying
k = 1.5
Solution
k = {-0.8571428571, 1.5}