20x^4a^2+16x^2a^3=4x^2a^2

Solution for 20x^4a^2+16x^2a^3=4x^2a^2 equation:

Simplifying
20x4a2 + 16x2a3 = 4x2a2

Solving
20a2x4 + 16a3x2 = 4a2x2

Solving for variable 'a'.

Reorder the terms:
-4a2x2 + 20a2x4 + 16a3x2 = 4a2x2 + -4a2x2

Combine like terms: 4a2x2 + -4a2x2 = 0
-4a2x2 + 20a2x4 + 16a3x2 = 0

Factor out the Greatest Common Factor (GCF), '4a2x2'.
4a2x2(-1 + 5x2 + 4a) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'a2x2' equal to zero and attempt to solve:

Simplifying
a2x2 = 0

Solving
a2x2 = 0

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

Simplifying
a2x2 = 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 '(-1 + 5x2 + 4a)' equal to zero and attempt to solve:

Simplifying
-1 + 5x2 + 4a = 0

Reorder the terms:
-1 + 4a + 5x2 = 0

Solving
-1 + 4a + 5x2 = 0

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

Add '1' to each side of the equation.
-1 + 4a + 1 + 5x2 = 0 + 1

Reorder the terms:
-1 + 1 + 4a + 5x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4a + 5x2 = 0 + 1
4a + 5x2 = 0 + 1

Combine like terms: 0 + 1 = 1
4a + 5x2 = 1

Add '-5x2' to each side of the equation.
4a + 5x2 + -5x2 = 1 + -5x2

Combine like terms: 5x2 + -5x2 = 0
4a + 0 = 1 + -5x2
4a = 1 + -5x2

Divide each side by '4'.
a = 0.25 + -1.25x2

Simplifying
a = 0.25 + -1.25x2
Solution
a = {0.25 + -1.25x2}