w(x-(y+z))=

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

Simplifying
w(x + -1(y + z)) = 0
w(x + (y * -1 + z * -1)) = 0
w(x + (-1y + -1z)) = 0
(x * w + -1y * w + -1z * w) = 0
(wx + -1wy + -1wz) = 0

Solving
wx + -1wy + -1wz = 0

Solving for variable 'w'.

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

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

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(x + -1y + -1z)' equal to zero and attempt to solve:

Simplifying
x + -1y + -1z = 0

Solving
x + -1y + -1z = 0

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

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

Reorder the terms:
x + -1x + -1y + -1z = 0 + -1x

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

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

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

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

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

Simplifying
0 = -1x + y + z

The solution to this equation could not be determined.

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