4b(2b+5)=0

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


Simplifying
4b(2b + 5) = 0

Reorder the terms:
4b(5 + 2b) = 0
(5 * 4b + 2b * 4b) = 0
(20b + 8b2) = 0

Solving
20b + 8b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(5 + 2b) = 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 '(5 + 2b)' equal to zero and attempt to solve:

Simplifying
5 + 2b = 0

Solving
5 + 2b = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2b = 0 + -5
2b = 0 + -5

Combine like terms: 0 + -5 = -5
2b = -5

Divide each side by '2'.
b = -2.5

Simplifying
b = -2.5
Solution
b = {0, -2.5}

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