-w(z+6)+4wz=

Solution for -w(z+6)+4wz= equation:

Simplifying
-1w(z + 6) + 4wz = 0

Reorder the terms:
-1w(6 + z) + 4wz = 0
(6 * -1w + z * -1w) + 4wz = 0
(-6w + -1wz) + 4wz = 0

Combine like terms: -1wz + 4wz = 3wz
-6w + 3wz = 0

Solving
-6w + 3wz = 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), '3w'.
3w(-2 + z) = 0

Ignore the factor 3.
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 '(-2 + z)' equal to zero and attempt to solve:

Simplifying
-2 + z = 0

Solving
-2 + z = 0

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

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

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

Combine like terms: 0 + 2 = 2
z = 2

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

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

Simplifying
0 = 2 + -1z

The solution to this equation could not be determined.

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