(3b^3-2b^2+b)(2b-3)=

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Solution for (3b^3-2b^2+b)(2b-3)= equation: 


Simplifying
(3b3 + -2b2 + b)(2b + -3) = 0

Reorder the terms:
(b + -2b2 + 3b3)(2b + -3) = 0

Reorder the terms:
(b + -2b2 + 3b3)(-3 + 2b) = 0

Multiply (b + -2b2 + 3b3) * (-3 + 2b)
(b(-3 + 2b) + -2b2 * (-3 + 2b) + 3b3 * (-3 + 2b)) = 0
((-3 * b + 2b * b) + -2b2 * (-3 + 2b) + 3b3 * (-3 + 2b)) = 0
((-3b + 2b2) + -2b2 * (-3 + 2b) + 3b3 * (-3 + 2b)) = 0
(-3b + 2b2 + (-3 * -2b2 + 2b * -2b2) + 3b3 * (-3 + 2b)) = 0
(-3b + 2b2 + (6b2 + -4b3) + 3b3 * (-3 + 2b)) = 0
(-3b + 2b2 + 6b2 + -4b3 + (-3 * 3b3 + 2b * 3b3)) = 0
(-3b + 2b2 + 6b2 + -4b3 + (-9b3 + 6b4)) = 0

Combine like terms: 2b2 + 6b2 = 8b2
(-3b + 8b2 + -4b3 + -9b3 + 6b4) = 0

Combine like terms: -4b3 + -9b3 = -13b3
(-3b + 8b2 + -13b3 + 6b4) = 0

Solving
-3b + 8b2 + -13b3 + 6b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-3 + 8b + -13b2 + 6b3) = 0


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 + 8b + -13b2 + 6b3)' equal to zero and attempt to solve:

Simplifying
-3 + 8b + -13b2 + 6b3 = 0

Solving
-3 + 8b + -13b2 + 6b3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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