4x(y-2z)=

Solution for 4x(y-2z)= equation:

Simplifying
4x(y + -2z) = 0
(y * 4x + -2z * 4x) = 0
(4xy + -8xz) = 0

Solving
4xy + -8xz = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(y + -2z) = 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 '(y + -2z)' equal to zero and attempt to solve:

Simplifying
y + -2z = 0

Solving
y + -2z = 0

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

Add '-1y' to each side of the equation.
y + -1y + -2z = 0 + -1y

Combine like terms: y + -1y = 0
0 + -2z = 0 + -1y
-2z = 0 + -1y
Remove the zero:
-2z = -1y

Add '2z' to each side of the equation.
-2z + 2z = -1y + 2z

Combine like terms: -2z + 2z = 0
0 = -1y + 2z

Simplifying
0 = -1y + 2z

The solution to this equation could not be determined.

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