3b(2b+5)=

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


Simplifying
3b(2b + 5) = 0

Reorder the terms:
3b(5 + 2b) = 0
(5 * 3b + 2b * 3b) = 0
(15b + 6b2) = 0

Solving
15b + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3b'.
3b(5 + 2b) = 0

Ignore the factor 3.

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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