Solve for c square root of 7-3z=3+cz

$\sqrt{7 - 3 z} = 3 + c z$

Rewrite the equation as $3 + c z = \sqrt{7 - 3 z}$ .

$3 + c z = \sqrt{7 - 3 z}$

Subtract $3$ from both sides of the equation.

$c z = \sqrt{7 - 3 z} - 3$

Divide each term in $c z = \sqrt{7 - 3 z} - 3$ by $z$ and simplify.

Divide each term in $c z = \sqrt{7 - 3 z} - 3$ by $z$ .

$\frac{c z}{z} = \frac{\sqrt{7 - 3 z}}{z} + \frac{- 3}{z}$

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{c z}{z} = \frac{\sqrt{7 - 3 z}}{z} + \frac{- 3}{z}$

Divide $c$ by $1$ .

$c = \frac{\sqrt{7 - 3 z}}{z} + \frac{- 3}{z}$

Simplify the right side.

Combine the numerators over the common denominator.

$c = \frac{\sqrt{7 - 3 z} - 3}{z}$