5s^2(8s^2+6sb-5b^2)=

Solution for 5s^2(8s^2+6sb-5b^2)= equation:

Simplifying
5s2(8s2 + 6sb + -5b2) = 0

Reorder the terms:
5s2(6bs + -5b2 + 8s2) = 0
(6bs * 5s2 + -5b2 * 5s2 + 8s2 * 5s2) = 0
(30bs3 + -25b2s2 + 40s4) = 0

Solving
30bs3 + -25b2s2 + 40s4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5s2'.
5s2(6bs + -5b2 + 8s2) = 0

Factor a trinomial.
5s2((-5b + -4s)(b + -2s)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Add '-1s2' to each side of the equation.
s2 + -1s2 = 0 + -1s2
Remove the zero:
0 = -1s2

Simplifying
0 = -1s2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-5b + -4s)' equal to zero and attempt to solve:

Simplifying
-5b + -4s = 0

Solving
-5b + -4s = 0

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

Add '4s' to each side of the equation.
-5b + -4s + 4s = 0 + 4s

Combine like terms: -4s + 4s = 0
-5b + 0 = 0 + 4s
-5b = 0 + 4s
Remove the zero:
-5b = 4s

Divide each side by '-5'.
b = -0.8s

Simplifying
b = -0.8s
Subproblem 3
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 = {-0.8s, 2s}