x(y+z)-2(xy)=

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

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

Reorder the terms:
xy + -2xy + xz = 0

Combine like terms: xy + -2xy = -1xy
-1xy + xz = 0

Solving
-1xy + xz = 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), 'x'.
x(-1y + z) = 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 '(-1y + z)' equal to zero and attempt to solve:

Simplifying
-1y + z = 0

Solving
-1y + z = 0

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

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

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

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

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

Simplifying
0 = y + -1z

The solution to this equation could not be determined.

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