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

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

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

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

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

Multiply (6 + 7k) * (-6 + 7k)
(6(-6 + 7k) + 7k * (-6 + 7k)) = 0
((-6 * 6 + 7k * 6) + 7k * (-6 + 7k)) = 0
((-36 + 42k) + 7k * (-6 + 7k)) = 0
(-36 + 42k + (-6 * 7k + 7k * 7k)) = 0
(-36 + 42k + (-42k + 49k2)) = 0

Combine like terms: 42k + -42k = 0
(-36 + 0 + 49k2) = 0
(-36 + 49k2) = 0

Solving
-36 + 49k2 = 0

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 49k2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 49k2 = 0 + 36
49k2 = 0 + 36

Combine like terms: 0 + 36 = 36
49k2 = 36

Divide each side by '49'.
k2 = 0.7346938776

Simplifying
k2 = 0.7346938776

Take the square root of each side:
k = {-0.857142857, 0.857142857}