X*x(x*x*x*x+16)=8x*x*x*x

Solution for X*x(x*x*x*x+16)=8x*x*x*x equation:

Simplifying
X * x(x * x * x * x + 16) = 8x * x * x * x

Multiply x * x
X * x(x2 * x * x + 16) = 8x * x * x * x

Multiply x2 * x
X * x(x3 * x + 16) = 8x * x * x * x

Multiply x3 * x
X * x(x4 + 16) = 8x * x * x * x

Reorder the terms:
X * x(16 + x4) = 8x * x * x * x

Multiply X * x
xX(16 + x4) = 8x * x * x * x
(16 * xX + x4 * xX) = 8x * x * x * x
(16xX + x5X) = 8x * x * x * x

Multiply x * x
16xX + x5X = 8x2 * x * x

Multiply x2 * x
16xX + x5X = 8x3 * x

Multiply x3 * x
16xX + x5X = 8x4

Solving
16xX + x5X = 8x4

Solving for variable 'x'.

Reorder the terms:
16xX + -8x4 + x5X = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
16xX + -8x4 + x5X = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16X + -8x3 + x4X) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(16X + -8x3 + x4X)' equal to zero and attempt to solve:

Simplifying
16X + -8x3 + x4X = 0

Solving
16X + -8x3 + x4X = 0

The solution to this equation could not be determined.

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