2b(3b+5)=

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


Simplifying
2b(3b + 5) = 0

Reorder the terms:
2b(5 + 3b) = 0
(5 * 2b + 3b * 2b) = 0
(10b + 6b2) = 0

Solving
10b + 6b2 = 0

Solving for variable 'b'.

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

Ignore the factor 2.

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 + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 3b = 0

Solving
5 + 3b = 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 + 3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3b = 0 + -5
3b = 0 + -5

Combine like terms: 0 + -5 = -5
3b = -5

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667
Solution
b = {0, -1.666666667}

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