2a(3b+8)=

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Solution for 2a(3b+8)= equation: 


Simplifying
2a(3b + 8) = 0

Reorder the terms:
2a(8 + 3b) = 0
(8 * 2a + 3b * 2a) = 0
(16a + 6ab) = 0

Solving
16a + 6ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), '2a'.
2a(8 + 3b) = 0

Ignore the factor 2.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(8 + 3b)' equal to zero and attempt to solve:

Simplifying
8 + 3b = 0

Solving
8 + 3b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3b = 0 + -8
3b = 0 + -8

Combine like terms: 0 + -8 = -8
3b = -8

Add '-3b' to each side of the equation.
3b + -3b = -8 + -3b

Combine like terms: 3b + -3b = 0
0 = -8 + -3b

Simplifying
0 = -8 + -3b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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