(4x*2x)-8x=2x*2x(x)

Solution for (4x*2x)-8x=2x*2x(x) equation:

Simplifying
(4x * 2x) + -8x = 2x * 2x(x)

Reorder the terms for easier multiplication:
(4 * 2x * x) + -8x = 2x * 2x(x)

Multiply 4 * 2
(8x * x) + -8x = 2x * 2x(x)

Multiply x * x
(8x2) + -8x = 2x * 2x(x)

Reorder the terms:
-8x + (8x2) = 2x * 2x(x)

Reorder the terms for easier multiplication:
-8x + (8x2) = 2 * 2x * x * x

Multiply 2 * 2
-8x + (8x2) = 4x * x * x

Multiply x * x
-8x + (8x2) = 4x2 * x

Multiply x2 * x
-8x + (8x2) = 4x3

Solving
-8x + (8x2) = 4x3

Solving for variable 'x'.

Combine like terms: 4x3 + -4x3 = 0
-8x + (8x2) + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2 + (2x) + -1x2) = 0

Ignore the factor 4.
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 '(-2 + (2x) + -1x2)' equal to zero and attempt to solve:

Simplifying
-2 + (2x) + -1x2 = 0

Solving
-2 + (2x) + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2 + (-2x) + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + (-2x) + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + (-2x) + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + (-2x) + x2 = 0 + -2
(-2x) + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
(-2x) + x2 = -2

The x term is (-2x).  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
(-2x) + 1 + x2 = -2 + 1

Reorder the terms:
1 + (-2x) + x2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + (-2x) + x2 = -1

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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