(x)(2x)(4x^2)=2048

Solution for (x)(2x)(4x^2)=2048 equation:

Simplifying
(x)(2x)(4x2) = 2048

Remove parenthesis around (2x)
x * 2x(4x2) = 2048

Remove parenthesis around (4x2)
x * 2x * 4x2 = 2048

Reorder the terms for easier multiplication:
2 * 4x * x * x2 = 2048

Multiply 2 * 4
8x * x * x2 = 2048

Multiply x * x
8x2 * x2 = 2048

Multiply x2 * x2
8x4 = 2048

Solving
8x4 = 2048

Solving for variable 'x'.

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

Divide each side by '8'.
x4 = 256

Simplifying
x4 = 256

Reorder the terms:
-256 + x4 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + x4 = 0

Factor a difference between two squares.
(16 + x2)(-16 + x2) = 0

Factor a difference between two squares.
(16 + x2)((4 + x)(-4 + x)) = 0

Subproblem 1
Set the factor '(16 + x2)' equal to zero and attempt to solve:

Simplifying
16 + x2 = 0

Solving
16 + x2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x2 = 0 + -16
x2 = 0 + -16

Combine like terms: 0 + -16 = -16
x2 = -16

Simplifying
x2 = -16

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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Subproblem 3
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4
Solution
x = {-4, 4}