4x^2a+4xa^2=0

Solution for 4x^2a+4xa^2=0 equation:

Simplifying
4x2a + 4xa2 = 0

Solving
4ax2 + 4a2x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4ax'.
4ax(x + a) = 0

Ignore the factor 4.
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 '(x + a)' equal to zero and attempt to solve:

Simplifying
x + a = 0

Reorder the terms:
a + x = 0

Solving
a + x = 0

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

Add '-1x' to each side of the equation.
a + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
a + 0 = 0 + -1x
a = 0 + -1x
Remove the zero:
a = -1x

Simplifying
a = -1x
Solution
a = {-1x}