a^5b^2x=a^4b^2c^4

Solution for a^5b^2x=a^4b^2c^4 equation:

Simplifying
a5b2x = a4b2c4

Solving
a5b2x = a4b2c4

Solving for variable 'a'.

Reorder the terms:
-1a4b2c4 + a5b2x = a4b2c4 + -1a4b2c4

Combine like terms: a4b2c4 + -1a4b2c4 = 0
-1a4b2c4 + a5b2x = 0

Factor out the Greatest Common Factor (GCF), 'a4b2'.
a4b2(-1c4 + ax) = 0

Subproblem 1
Set the factor 'a4b2' equal to zero and attempt to solve:

Simplifying
a4b2 = 0

Solving
a4b2 = 0

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

Simplifying
a4b2 = 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 '(-1c4 + ax)' equal to zero and attempt to solve:

Simplifying
-1c4 + ax = 0

Reorder the terms:
ax + -1c4 = 0

Solving
ax + -1c4 = 0

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

Add 'c4' to each side of the equation.
ax + -1c4 + c4 = 0 + c4

Combine like terms: -1c4 + c4 = 0
ax + 0 = 0 + c4
ax = 0 + c4
Remove the zero:
ax = c4

Divide each side by 'x'.
a = c4x-1

Simplifying
a = c4x-1
Solution
a = {c4x-1}