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

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

Simplifying
24s2 + 30s2b + -9s2b2 = 0

Reorder the terms:
30bs2 + -9b2s2 + 24s2 = 0

Solving
30bs2 + -9b2s2 + 24s2 = 0

Solving for variable 'b'.

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

Factor a trinomial.
3s2((-3b + -2)(b + -4)) = 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 + -2)' equal to zero and attempt to solve:

Simplifying
-3b + -2 = 0

Reorder the terms:
-2 + -3b = 0

Solving
-2 + -3b = 0

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

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

Combine like terms: -2 + 2 = 0
0 + -3b = 0 + 2
-3b = 0 + 2

Combine like terms: 0 + 2 = 2
-3b = 2

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

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

Simplifying
b + -4 = 0

Reorder the terms:
-4 + b = 0

Solving
-4 + b = 0

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

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

Combine like terms: -4 + 4 = 0
0 + b = 0 + 4
b = 0 + 4

Combine like terms: 0 + 4 = 4
b = 4

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