(b-3)(b^3-4b^2+5b)=

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Solution for (b-3)(b^3-4b^2+5b)= equation: 


Simplifying
(b + -3)(b3 + -4b2 + 5b) = 0

Reorder the terms:
(-3 + b)(b3 + -4b2 + 5b) = 0

Reorder the terms:
(-3 + b)(5b + -4b2 + b3) = 0

Multiply (-3 + b) * (5b + -4b2 + b3)
(-3(5b + -4b2 + b3) + b(5b + -4b2 + b3)) = 0
((5b * -3 + -4b2 * -3 + b3 * -3) + b(5b + -4b2 + b3)) = 0
((-15b + 12b2 + -3b3) + b(5b + -4b2 + b3)) = 0
(-15b + 12b2 + -3b3 + (5b * b + -4b2 * b + b3 * b)) = 0
(-15b + 12b2 + -3b3 + (5b2 + -4b3 + b4)) = 0

Reorder the terms:
(-15b + 12b2 + 5b2 + -3b3 + -4b3 + b4) = 0

Combine like terms: 12b2 + 5b2 = 17b2
(-15b + 17b2 + -3b3 + -4b3 + b4) = 0

Combine like terms: -3b3 + -4b3 = -7b3
(-15b + 17b2 + -7b3 + b4) = 0

Solving
-15b + 17b2 + -7b3 + b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-15 + 17b + -7b2 + b3) = 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 '(-15 + 17b + -7b2 + b3)' equal to zero and attempt to solve:

Simplifying
-15 + 17b + -7b2 + b3 = 0

Solving
-15 + 17b + -7b2 + b3 = 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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