0=(8s-3t)(8s+3t)

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

Simplifying
0 = (8s + -3t)(8s + 3t)

Multiply (8s + -3t) * (8s + 3t)
0 = (8s * (8s + 3t) + -3t * (8s + 3t))
0 = ((8s * 8s + 3t * 8s) + -3t * (8s + 3t))

Reorder the terms:
0 = ((24st + 64s2) + -3t * (8s + 3t))
0 = ((24st + 64s2) + -3t * (8s + 3t))
0 = (24st + 64s2 + (8s * -3t + 3t * -3t))
0 = (24st + 64s2 + (-24st + -9t2))

Reorder the terms:
0 = (24st + -24st + 64s2 + -9t2)

Combine like terms: 24st + -24st = 0
0 = (0 + 64s2 + -9t2)
0 = (64s2 + -9t2)

Solving
0 = 64s2 + -9t2

Solving for variable 's'.

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

Add '-64s2' to each side of the equation.
0 + -64s2 = 64s2 + -64s2 + -9t2
Remove the zero:
-64s2 = 64s2 + -64s2 + -9t2

Combine like terms: 64s2 + -64s2 = 0
-64s2 = 0 + -9t2
-64s2 = -9t2

Divide each side by '-64'.
s2 = 0.140625t2

Simplifying
s2 = 0.140625t2

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