(9k-6)(7k-3)=

Solution for (9k-6)(7k-3)= equation:

Simplifying
(9k + -6)(7k + -3) = 0

Reorder the terms:
(-6 + 9k)(7k + -3) = 0

Reorder the terms:
(-6 + 9k)(-3 + 7k) = 0

Multiply (-6 + 9k) * (-3 + 7k)
(-6(-3 + 7k) + 9k * (-3 + 7k)) = 0
((-3 * -6 + 7k * -6) + 9k * (-3 + 7k)) = 0
((18 + -42k) + 9k * (-3 + 7k)) = 0
(18 + -42k + (-3 * 9k + 7k * 9k)) = 0
(18 + -42k + (-27k + 63k2)) = 0

Combine like terms: -42k + -27k = -69k
(18 + -69k + 63k2) = 0

Solving
18 + -69k + 63k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -23k + 21k2) = 0

Factor a trinomial.
3((3 + -7k)(2 + -3k)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + -7k)' equal to zero and attempt to solve:

Simplifying
3 + -7k = 0

Solving
3 + -7k = 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 + -7k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7k = 0 + -3
-7k = 0 + -3

Combine like terms: 0 + -3 = -3
-7k = -3

Divide each side by '-7'.
k = 0.4285714286

Simplifying
k = 0.4285714286
Subproblem 2
Set the factor '(2 + -3k)' equal to zero and attempt to solve:

Simplifying
2 + -3k = 0

Solving
2 + -3k = 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 + -3k = 0 + -2

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

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

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Solution
k = {0.4285714286, 0.6666666667}