4b(3b+6d)=

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Solution for 4b(3b+6d)= equation: 


Simplifying
4b(3b + 6d) = 0
(3b * 4b + 6d * 4b) = 0

Reorder the terms:
(24bd + 12b2) = 0
(24bd + 12b2) = 0

Solving
24bd + 12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '12b'.
12b(2d + b) = 0

Ignore the factor 12.

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 '(2d + b)' equal to zero and attempt to solve:

Simplifying
2d + b = 0

Reorder the terms:
b + 2d = 0

Solving
b + 2d = 0

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

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

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

Simplifying
b = -2d
Solution
b = {0, -2d}

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