Solve for z W=X+Xyz for z

$W = X + X y z$ for $z$

Rewrite the equation as $X + X y z = W$ .

$X + X y z = W$

Subtract $X$ from both sides of the equation.

$X y z = W - X$

Divide each term in $X y z = W - X$ by $X y$ and simplify.

Divide each term in $X y z = W - X$ by $X y$ .

$\frac{X y z}{X y} = \frac{W}{X y} + \frac{- X}{X y}$

Simplify the left side.

Cancel the common factor of $X$ .

Cancel the common factor.

$\frac{X y z}{X y} = \frac{W}{X y} + \frac{- X}{X y}$

Rewrite the expression.

$\frac{y z}{y} = \frac{W}{X y} + \frac{- X}{X y}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y z}{y} = \frac{W}{X y} + \frac{- X}{X y}$

Divide $z$ by $1$ .

$z = \frac{W}{X y} + \frac{- X}{X y}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $X$ .

Cancel the common factor.

$z = \frac{W}{X y} + \frac{- X}{X y}$

Rewrite the expression.

$z = \frac{W}{X y} + \frac{- 1}{y}$

Move the negative in front of the fraction.

$z = \frac{W}{X y} - \frac{1}{y}$