Solve for v u=vw+z ; for v

$u = v w + z$ ; for $v$

Step 1

Rewrite the equation as $v w + z = u$ .

$v w + z = u$

Step 2

Subtract $z$ from both sides of the equation.

$v w = u - z$

Step 3

Divide each term in $v w = u - z$ by $w$ and simplify.

Divide each term in $v w = u - z$ by $w$ .

$\frac{v w}{w} = \frac{u}{w} + \frac{- z}{w}$

Simplify the left side.

Cancel the common factor of $w$ .

Cancel the common factor.

$\frac{v w}{w} = \frac{u}{w} + \frac{- z}{w}$

Divide $v$ by $1$ .

$v = \frac{u}{w} + \frac{- z}{w}$

Simplify the right side.

Move the negative in front of the fraction.

$v = \frac{u}{w} - \frac{z}{w}$