-4b(b+5)(b^2-5b+25)=0

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Solution for -4b(b+5)(b^2-5b+25)=0 equation: 


Simplifying
-4b(b + 5)(b2 + -5b + 25) = 0

Reorder the terms:
-4b(5 + b)(b2 + -5b + 25) = 0

Reorder the terms:
-4b(5 + b)(25 + -5b + b2) = 0

Multiply (5 + b) * (25 + -5b + b2)
-4b(5(25 + -5b + b2) + b(25 + -5b + b2)) = 0
-4b((25 * 5 + -5b * 5 + b2 * 5) + b(25 + -5b + b2)) = 0
-4b((125 + -25b + 5b2) + b(25 + -5b + b2)) = 0
-4b(125 + -25b + 5b2 + (25 * b + -5b * b + b2 * b)) = 0
-4b(125 + -25b + 5b2 + (25b + -5b2 + b3)) = 0

Reorder the terms:
-4b(125 + -25b + 25b + 5b2 + -5b2 + b3) = 0

Combine like terms: -25b + 25b = 0
-4b(125 + 0 + 5b2 + -5b2 + b3) = 0
-4b(125 + 5b2 + -5b2 + b3) = 0

Combine like terms: 5b2 + -5b2 = 0
-4b(125 + 0 + b3) = 0
-4b(125 + b3) = 0
(125 * -4b + b3 * -4b) = 0
(-500b + -4b4) = 0

Solving
-500b + -4b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-4b'.
-4b(125 + b3) = 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 '(125 + b3)' equal to zero and attempt to solve:

Simplifying
125 + b3 = 0

Solving
125 + b3 = 0

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

Add '-125' to each side of the equation.
125 + -125 + b3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + b3 = 0 + -125
b3 = 0 + -125

Combine like terms: 0 + -125 = -125
b3 = -125

Simplifying
b3 = -125

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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