(6k-1)(7k+3)=

Solution for (6k-1)(7k+3)= equation:

Simplifying
(6k + -1)(7k + 3) = 0

Reorder the terms:
(-1 + 6k)(7k + 3) = 0

Reorder the terms:
(-1 + 6k)(3 + 7k) = 0

Multiply (-1 + 6k) * (3 + 7k)
(-1(3 + 7k) + 6k * (3 + 7k)) = 0
((3 * -1 + 7k * -1) + 6k * (3 + 7k)) = 0
((-3 + -7k) + 6k * (3 + 7k)) = 0
(-3 + -7k + (3 * 6k + 7k * 6k)) = 0
(-3 + -7k + (18k + 42k2)) = 0

Combine like terms: -7k + 18k = 11k
(-3 + 11k + 42k2) = 0

Solving
-3 + 11k + 42k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -7k)(1 + -6k) = 0

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 '(1 + -6k)' equal to zero and attempt to solve:

Simplifying
1 + -6k = 0

Solving
1 + -6k = 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 + -6k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6k = 0 + -1
-6k = 0 + -1

Combine like terms: 0 + -1 = -1
-6k = -1

Divide each side by '-6'.
k = 0.1666666667

Simplifying
k = 0.1666666667
Solution
k = {-0.4285714286, 0.1666666667}