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

Solution for 0=(8k-3)(8k+3) equation:

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

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

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

Multiply (-3 + 8k) * (3 + 8k)
0 = (-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))

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

Solving
0 = -9 + 64k2

Solving for variable 'k'.

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

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

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