Solve 10ms=sqrt{2*98}*d

$$10 ms = \sqrt { 2 \times 98 } \times d$$

Solve for d

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

Steps for Solving Linear Equation

Multiply 2 and 98 to get 196.

$$10ms=\sqrt{196}d$$

Calculate the square root of 196 and get 14.

$$10ms=14d$$

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

$$14d=10ms$$

Divide both sides by 14.

$$\frac{14d}{14}=\frac{10ms}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$d=\frac{10ms}{14}$$

Divide 10ms by 14.

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

Solve for m

$$\left\{\begin{matrix}m=\frac{7d}{5s}\text{, }&s\neq 0\\m\in \mathrm{R}\text{, }&d=0\text{ and }s=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 2 and 98 to get 196.

$$10ms=\sqrt{196}d$$

Calculate the square root of 196 and get 14.

$$10ms=14d$$

The equation is in standard form.

$$10sm=14d$$

Divide both sides by 10s.

$$\frac{10sm}{10s}=\frac{14d}{10s}$$

Dividing by 10s undoes the multiplication by 10s.

$$m=\frac{14d}{10s}$$

Divide 14d by 10s.

$$m=\frac{7d}{5s}$$