s^2(24s^2+30b-9b^2)=

Solution for s^2(24s^2+30b-9b^2)= equation:

Simplifying
s2(24s2 + 30b + -9b2) = 0

Reorder the terms:
s2(30b + -9b2 + 24s2) = 0
(30b * s2 + -9b2 * s2 + 24s2 * s2) = 0
(30bs2 + -9b2s2 + 24s4) = 0

Solving
30bs2 + -9b2s2 + 24s4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3s2'.
3s2(10b + -3b2 + 8s2) = 0

Factor a trinomial.
3s2((-3b + -2s)(b + -4s)) = 0

Ignore the factor 3.
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 '(-3b + -2s)' equal to zero and attempt to solve:

Simplifying
-3b + -2s = 0

Solving
-3b + -2s = 0

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

Add '2s' to each side of the equation.
-3b + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
-3b + 0 = 0 + 2s
-3b = 0 + 2s
Remove the zero:
-3b = 2s

Divide each side by '-3'.
b = -0.6666666667s

Simplifying
b = -0.6666666667s
Subproblem 3
Set the factor '(b + -4s)' equal to zero and attempt to solve:

Simplifying
b + -4s = 0

Solving
b + -4s = 0

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

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

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

Simplifying
b = 4s
Solution
b = {-0.6666666667s, 4s}