-30b^3-38b^2-12b=0

Solution for -30b^3-38b^2-12b=0 equation:

Simplifying
-30b3 + -38b2 + -12b = 0

Reorder the terms:
-12b + -38b2 + -30b3 = 0

Solving
-12b + -38b2 + -30b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-2b'.
-2b(6 + 19b + 15b2) = 0

Factor a trinomial.
-2b((2 + 3b)(3 + 5b)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(2 + 3b)' equal to zero and attempt to solve:

Simplifying
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 '(3 + 5b)' equal to zero and attempt to solve:

Simplifying
3 + 5b = 0

Solving
3 + 5b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5b = 0 + -3
5b = 0 + -3

Combine like terms: 0 + -3 = -3
5b = -3

Divide each side by '5'.
b = -0.6

Simplifying
b = -0.6
Solution
b = {0, -0.6666666667, -0.6}