(7k+6)(8k+6)=

Solution for (7k+6)(8k+6)= equation:

Simplifying
(7k + 6)(8k + 6) = 0

Reorder the terms:
(6 + 7k)(8k + 6) = 0

Reorder the terms:
(6 + 7k)(6 + 8k) = 0

Multiply (6 + 7k) * (6 + 8k)
(6(6 + 8k) + 7k * (6 + 8k)) = 0
((6 * 6 + 8k * 6) + 7k * (6 + 8k)) = 0
((36 + 48k) + 7k * (6 + 8k)) = 0
(36 + 48k + (6 * 7k + 8k * 7k)) = 0
(36 + 48k + (42k + 56k2)) = 0

Combine like terms: 48k + 42k = 90k
(36 + 90k + 56k2) = 0

Solving
36 + 90k + 56k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 45k + 28k2) = 0

Factor a trinomial.
2((6 + 7k)(3 + 4k)) = 0

Ignore the factor 2.
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 + 4k)' equal to zero and attempt to solve:

Simplifying
3 + 4k = 0

Solving
3 + 4k = 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 + 4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = 0 + -3
4k = 0 + -3

Combine like terms: 0 + -3 = -3
4k = -3

Divide each side by '4'.
k = -0.75

Simplifying
k = -0.75
Solution
k = {-0.8571428571, -0.75}