=5.2(8k-3)(8k+3)

Solution for =5.2(8k-3)(8k+3) equation:

Simplifying
0 = 5.2(8k + -3)(8k + 3)

Reorder the terms:
0 = 5.2(-3 + 8k)(8k + 3)

Reorder the terms:
0 = 5.2(-3 + 8k)(3 + 8k)

Multiply (-3 + 8k) * (3 + 8k)
0 = 5.2(-3(3 + 8k) + 8k * (3 + 8k))
0 = 5.2((3 * -3 + 8k * -3) + 8k * (3 + 8k))
0 = 5.2((-9 + -24k) + 8k * (3 + 8k))
0 = 5.2(-9 + -24k + (3 * 8k + 8k * 8k))
0 = 5.2(-9 + -24k + (24k + 64k2))

Combine like terms: -24k + 24k = 0
0 = 5.2(-9 + 0 + 64k2)
0 = 5.2(-9 + 64k2)
0 = (-9 * 5.2 + 64k2 * 5.2)
0 = (-46.8 + 332.8k2)

Solving
0 = -46.8 + 332.8k2

Solving for variable 'k'.

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

Add '-332.8k2' to each side of the equation.
0 + -332.8k2 = -46.8 + 332.8k2 + -332.8k2
Remove the zero:
-332.8k2 = -46.8 + 332.8k2 + -332.8k2

Combine like terms: 332.8k2 + -332.8k2 = 0.0
-332.8k2 = -46.8 + 0.0
-332.8k2 = -46.8

Divide each side by '-332.8'.
k2 = 0.140625

Simplifying
k2 = 0.140625

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