2b(2c+3b)=

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


Simplifying
2b(2c + 3b) = 0

Reorder the terms:
2b(3b + 2c) = 0
(3b * 2b + 2c * 2b) = 0

Reorder the terms:
(4bc + 6b2) = 0
(4bc + 6b2) = 0

Solving
4bc + 6b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2b'.
2b(2c + 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 '(2c + 3b)' equal to zero and attempt to solve:

Simplifying
2c + 3b = 0

Reorder the terms:
3b + 2c = 0

Solving
3b + 2c = 0

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

Add '-2c' to each side of the equation.
3b + 2c + -2c = 0 + -2c

Combine like terms: 2c + -2c = 0
3b + 0 = 0 + -2c
3b = 0 + -2c
Remove the zero:
3b = -2c

Divide each side by '3'.
b = -0.6666666667c

Simplifying
b = -0.6666666667c
Solution
b = {0, -0.6666666667c}

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