104b^3-28b^2=12b

Solution for 104b^3-28b^2=12b equation:

Simplifying
104b3 + -28b2 = 12b

Reorder the terms:
-28b2 + 104b3 = 12b

Solving
-28b2 + 104b3 = 12b

Solving for variable 'b'.

Reorder the terms:
-12b + -28b2 + 104b3 = 12b + -12b

Combine like terms: 12b + -12b = 0
-12b + -28b2 + 104b3 = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-3 + -7b + 26b2) = 0

Factor a trinomial.
4b((-3 + -13b)(1 + -2b)) = 0

Ignore the factor 4.
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 '(-3 + -13b)' equal to zero and attempt to solve:

Simplifying
-3 + -13b = 0

Solving
-3 + -13b = 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 + -13b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -13b = 0 + 3
-13b = 0 + 3

Combine like terms: 0 + 3 = 3
-13b = 3

Divide each side by '-13'.
b = -0.2307692308

Simplifying
b = -0.2307692308
Subproblem 3
Set the factor '(1 + -2b)' equal to zero and attempt to solve:

Simplifying
1 + -2b = 0

Solving
1 + -2b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2b = 0 + -1
-2b = 0 + -1

Combine like terms: 0 + -1 = -1
-2b = -1

Divide each side by '-2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {0, -0.2307692308, 0.5}