(7k-1)(6k-2)=

Solution for (7k-1)(6k-2)= equation:

Simplifying
(7k + -1)(6k + -2) = 0

Reorder the terms:
(-1 + 7k)(6k + -2) = 0

Reorder the terms:
(-1 + 7k)(-2 + 6k) = 0

Multiply (-1 + 7k) * (-2 + 6k)
(-1(-2 + 6k) + 7k * (-2 + 6k)) = 0
((-2 * -1 + 6k * -1) + 7k * (-2 + 6k)) = 0
((2 + -6k) + 7k * (-2 + 6k)) = 0
(2 + -6k + (-2 * 7k + 6k * 7k)) = 0
(2 + -6k + (-14k + 42k2)) = 0

Combine like terms: -6k + -14k = -20k
(2 + -20k + 42k2) = 0

Solving
2 + -20k + 42k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -10k + 21k2) = 0

Factor a trinomial.
2((1 + -7k)(1 + -3k)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -7k)' equal to zero and attempt to solve:

Simplifying
1 + -7k = 0

Solving
1 + -7k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7k = 0 + -1
-7k = 0 + -1

Combine like terms: 0 + -1 = -1
-7k = -1

Divide each side by '-7'.
k = 0.1428571429

Simplifying
k = 0.1428571429
Subproblem 2
Set the factor '(1 + -3k)' equal to zero and attempt to solve:

Simplifying
1 + -3k = 0

Solving
1 + -3k = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3k = 0 + -1
-3k = 0 + -1

Combine like terms: 0 + -1 = -1
-3k = -1

Divide each side by '-3'.
k = 0.3333333333

Simplifying
k = 0.3333333333
Solution
k = {0.1428571429, 0.3333333333}