5b(b+4c)=

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Solution for 5b(b+4c)= equation: 


Simplifying
5b(b + 4c) = 0
(b * 5b + 4c * 5b) = 0

Reorder the terms:
(20bc + 5b2) = 0
(20bc + 5b2) = 0

Solving
20bc + 5b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b'.
5b(4c + b) = 0

Ignore the factor 5.

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 '(4c + b)' equal to zero and attempt to solve:

Simplifying
4c + b = 0

Reorder the terms:
b + 4c = 0

Solving
b + 4c = 0

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

Add '-4c' to each side of the equation.
b + 4c + -4c = 0 + -4c

Combine like terms: 4c + -4c = 0
b + 0 = 0 + -4c
b = 0 + -4c
Remove the zero:
b = -4c

Simplifying
b = -4c
Solution
b = {0, -4c}

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