2x(3+a)*(4*a)=

Solution for 2x(3+a)*(4*a)= equation:

Simplifying
2x(3 + a)(4a) = 0

Remove parenthesis around (4a)
2x(3 + a) * 4a = 0

Reorder the terms for easier multiplication:
2 * 4x * a(3 + a) = 0

Multiply 2 * 4
8x * a(3 + a) = 0

Multiply x * a
8ax(3 + a) = 0
(3 * 8ax + a * 8ax) = 0
(24ax + 8a2x) = 0

Solving
24ax + 8a2x = 0

Solving for variable 'a'.

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

Ignore the factor 8.
Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve:

Simplifying
ax = 0

Solving
ax = 0

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

Simplifying
ax = 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 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 0

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

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

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

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

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