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

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

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

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

Multiply 4 * -2
-8x * x = x

Multiply x * x
-8x2 = x

Solving
-8x2 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -8x2 = x + -1x

Combine like terms: x + -1x = 0
-1x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 8x) = 0

Ignore the factor -1.
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 '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {0, -0.125}