8s^2+2sb-3b^2=0

Solution for 8s^2+2sb-3b^2=0 equation:

Simplifying
8s2 + 2sb + -3b2 = 0

Reorder the terms:
2bs + -3b2 + 8s2 = 0

Solving
2bs + -3b2 + 8s2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3b + -4s)(b + -2s) = 0

Subproblem 1
Set the factor '(-3b + -4s)' equal to zero and attempt to solve:

Simplifying
-3b + -4s = 0

Solving
-3b + -4s = 0

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

Add '4s' to each side of the equation.
-3b + -4s + 4s = 0 + 4s

Combine like terms: -4s + 4s = 0
-3b + 0 = 0 + 4s
-3b = 0 + 4s
Remove the zero:
-3b = 4s

Divide each side by '-3'.
b = -1.333333333s

Simplifying
b = -1.333333333s
Subproblem 2
Set the factor '(b + -2s)' equal to zero and attempt to solve:

Simplifying
b + -2s = 0

Solving
b + -2s = 0

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

Add '2s' to each side of the equation.
b + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
b + 0 = 0 + 2s
b = 0 + 2s
Remove the zero:
b = 2s

Simplifying
b = 2s
Solution
b = {-1.333333333s, 2s}