4ab(2a+6b)=

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Solution for 4ab(2a+6b)= equation: 


Simplifying
4ab(2a + 6b) = 0
(2a * 4ab + 6b * 4ab) = 0

Reorder the terms:
(24ab2 + 8a2b) = 0
(24ab2 + 8a2b) = 0

Solving
24ab2 + 8a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8ab'.
8ab(3b + a) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3b + a)' equal to zero and attempt to solve:

Simplifying
3b + a = 0

Reorder the terms:
a + 3b = 0

Solving
a + 3b = 0

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

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

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

Simplifying
a = -3b
Solution
a = {-3b}

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