8ab(a+3+b)=

Solution for 8ab(a+3+b)= equation:

Simplifying
8ab(a + 3 + b) = 0

Reorder the terms:
8ab(3 + a + b) = 0
(3 * 8ab + a * 8ab + b * 8ab) = 0

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

Solving
24ab + 8ab2 + 8a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8ab'.
8ab(3 + b + 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 '(3 + b + a)' equal to zero and attempt to solve:

Simplifying
3 + b + a = 0

Reorder the terms:
3 + a + b = 0

Solving
3 + a + b = 0

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

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

Reorder the terms:
3 + -3 + a + b = 0 + -3

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

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

Add '-1b' to each side of the equation.
a + b + -1b = -3 + -1b

Combine like terms: b + -1b = 0
a + 0 = -3 + -1b
a = -3 + -1b

Simplifying
a = -3 + -1b
Solution
a = {-3 + -1b}