(8k-3)(8k+3)=

Solution for (8k-3)(8k+3)= equation:

Simplifying
(8k + -3)(8k + 3) = 0

Reorder the terms:
(-3 + 8k)(8k + 3) = 0

Reorder the terms:
(-3 + 8k)(3 + 8k) = 0

Multiply (-3 + 8k) * (3 + 8k)
(-3(3 + 8k) + 8k * (3 + 8k)) = 0
((3 * -3 + 8k * -3) + 8k * (3 + 8k)) = 0
((-9 + -24k) + 8k * (3 + 8k)) = 0
(-9 + -24k + (3 * 8k + 8k * 8k)) = 0
(-9 + -24k + (24k + 64k2)) = 0

Combine like terms: -24k + 24k = 0
(-9 + 0 + 64k2) = 0
(-9 + 64k2) = 0

Solving
-9 + 64k2 = 0

Solving for variable 'k'.

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

Add '9' to each side of the equation.
-9 + 9 + 64k2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 64k2 = 0 + 9
64k2 = 0 + 9

Combine like terms: 0 + 9 = 9
64k2 = 9

Divide each side by '64'.
k2 = 0.140625

Simplifying
k2 = 0.140625

Take the square root of each side:
k = {-0.375, 0.375}