Solve Q=500v*10/3hF

$$Q = 500 v \times \frac { 10 } { 3 } hF$$

Solve for F

$$\left\{\begin{matrix}F=\frac{3Q}{5000hv}\text{, }&h\neq 0\text{ and }v\neq 0\\F\in \mathrm{R}\text{, }&\left(v=0\text{ or }h=0\right)\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 500 and \frac{10}{3} to get \frac{5000}{3}.

$$Q=\frac{5000}{3}vhF$$

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

$$\frac{5000}{3}vhF=Q$$

The equation is in standard form.

$$\frac{5000hv}{3}F=Q$$

Divide both sides by \frac{5000}{3}vh.

$$\frac{3\times \frac{5000hv}{3}F}{5000hv}=\frac{3Q}{5000hv}$$

Dividing by \frac{5000}{3}vh undoes the multiplication by \frac{5000}{3}vh.

$$F=\frac{3Q}{5000hv}$$

Solve for Q

$$Q=\frac{5000Fhv}{3}$$

Solution Steps

Multiply 500 and \frac{10}{3} to get \frac{5000}{3}.

$$Q=\frac{5000}{3}vhF$$