28yz-16xyz+x^2yz=

Solution for 28yz-16xyz+x^2yz= equation:

Simplifying
28yz + -16xyz + x2yz = 0

Reorder the terms:
-16xyz + x2yz + 28yz = 0

Solving
-16xyz + x2yz + 28yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'yz'.
yz(-16x + x2 + 28) = 0

Factor a trinomial.
yz((x + -14)(x + -2)) = 0

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

Simplifying
yz = 0

Solving
yz = 0

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

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

Simplifying
0 = -1yz

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 '(x + -14)' equal to zero and attempt to solve:

Simplifying
x + -14 = 0

Reorder the terms:
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14
Subproblem 3
Set the factor '(x + -2)' equal to zero and attempt to solve:

Simplifying
x + -2 = 0

Reorder the terms:
-2 + x = 0

Solving
-2 + x = 0

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

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

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

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

Simplifying
x = 2
Solution
x = {14, 2}