Solve frac{x*sqrt{x}}{7z}=3

$$\frac{ x \times \sqrt{ x } }{ 7z } =3$$

Solve for z

$$z=\frac{x^{\frac{3}{2}}}{21}$$

$$x>0$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 7z.

$$x\sqrt{x}=21z$$

Swap sides so that all variable terms are on the left hand side.

$$21z=x\sqrt{x}$$

The equation is in standard form.

$$21z=\sqrt{x}x$$

Divide both sides by 21.

$$\frac{21z}{21}=\frac{x^{\frac{3}{2}}}{21}$$

Dividing by 21 undoes the multiplication by 21.

$$z=\frac{x^{\frac{3}{2}}}{21}$$

Variable z cannot be equal to 0.

$$z=\frac{x^{\frac{3}{2}}}{21}\text{, }z\neq 0$$

Solve for x

$$x=\sqrt[3]{441}z^{\frac{2}{3}}$$

$$z>0$$