Solve 10ms=sqrt{2*9.8}*d

$$10 ms = \sqrt { 2 \times 9.8 } \times d$$

Solve for d

$$d=\frac{5\sqrt{10}ms}{7}$$

Steps for Solving Linear Equation

Multiply 2 and 9.8 to get 19.6.

$$10ms=\sqrt{19.6}d$$

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

$$\sqrt{19.6}d=10ms$$

Divide both sides by \sqrt{19.6}.

$$\frac{\sqrt{19.6}d}{\sqrt{19.6}}=\frac{10ms}{\sqrt{19.6}}$$

Dividing by \sqrt{19.6} undoes the multiplication by \sqrt{19.6}.

$$d=\frac{10ms}{\sqrt{19.6}}$$

Divide 10ms by \sqrt{19.6}.

$$d=\frac{5\sqrt{10}ms}{7}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{7\sqrt{10}d}{50s}\text{, }&s\neq 0\\m\in \mathrm{R}\text{, }&d=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 2 and 9.8 to get 19.6.

$$10ms=\sqrt{19.6}d$$

The equation is in standard form.

$$10sm=\sqrt{19.6}d$$

Divide both sides by 10s.

$$\frac{10sm}{10s}=\frac{7\sqrt{10}d}{5\times 10s}$$

Dividing by 10s undoes the multiplication by 10s.

$$m=\frac{7\sqrt{10}d}{5\times 10s}$$

Divide \frac{7\sqrt{10}d}{5} by 10s.

$$m=\frac{7\sqrt{10}d}{50s}$$