2b^3-6b^2-1008b=

Solution for 2b^3-6b^2-1008b= equation:

Simplifying
2b3 + -6b2 + -1008b = 0

Reorder the terms:
-1008b + -6b2 + 2b3 = 0

Solving
-1008b + -6b2 + 2b3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-504 + -3b + b2) = 0

Factor a trinomial.
2b((-21 + -1b)(24 + -1b)) = 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 '(-21 + -1b)' equal to zero and attempt to solve:

Simplifying
-21 + -1b = 0

Solving
-21 + -1b = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1b = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1b = 0 + 21
-1b = 0 + 21

Combine like terms: 0 + 21 = 21
-1b = 21

Divide each side by '-1'.
b = -21

Simplifying
b = -21
Subproblem 3
Set the factor '(24 + -1b)' equal to zero and attempt to solve:

Simplifying
24 + -1b = 0

Solving
24 + -1b = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1b = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1b = 0 + -24
-1b = 0 + -24

Combine like terms: 0 + -24 = -24
-1b = -24

Divide each side by '-1'.
b = 24

Simplifying
b = 24
Solution
b = {0, -21, 24}