(w^2z-2wz+z)(-z^2)=

Solution for (w^2z-2wz+z)(-z^2)= equation:

Simplifying
(w2z + -2wz + z)(-1z2) = 0

Reorder the terms:
(-2wz + w2z + z)(-1z2) = 0

Remove parenthesis around (-1z2)
(-2wz + w2z + z) * -1z2 = 0

Reorder the terms for easier multiplication:
-1z2(-2wz + w2z + z) = 0
(-2wz * -1z2 + w2z * -1z2 + z * -1z2) = 0
(2wz3 + -1w2z3 + -1z3) = 0

Solving
2wz3 + -1w2z3 + -1z3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'z3'.
z3(2w + -1w2 + -1) = 0

Factor a trinomial.
z3((-1w + 1)(w + -1)) = 0

Subproblem 1
Set the factor 'z3' equal to zero and attempt to solve:

Simplifying
z3 = 0

Solving
z3 = 0

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

Add '-1z3' to each side of the equation.
z3 + -1z3 = 0 + -1z3
Remove the zero:
0 = -1z3

Simplifying
0 = -1z3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1w + 1)' equal to zero and attempt to solve:

Simplifying
-1w + 1 = 0

Reorder the terms:
1 + -1w = 0

Solving
1 + -1w = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1w = 0 + -1
-1w = 0 + -1

Combine like terms: 0 + -1 = -1
-1w = -1

Divide each side by '-1'.
w = 1

Simplifying
w = 1
Subproblem 3
Set the factor '(w + -1)' equal to zero and attempt to solve:

Simplifying
w + -1 = 0

Reorder the terms:
-1 + w = 0

Solving
-1 + w = 0

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

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

Combine like terms: -1 + 1 = 0
0 + w = 0 + 1
w = 0 + 1

Combine like terms: 0 + 1 = 1
w = 1

Simplifying
w = 1
Solution
w = {1, 1}