Solve lambda=3*10^8m/s/174*10^6Hz=

$$\lambda = \frac { 3 \times 10 ^ { 8 } m / s } { 174 \times 10 ^ { 6 } Hz } =$$

Solve for H

$$\left\{\begin{matrix}H=\frac{50m}{29sz\lambda }\text{, }&m\neq 0\text{ and }z\neq 0\text{ and }s\neq 0\text{ and }\lambda \neq 0\\H\neq 0\text{, }&\lambda =0\text{ and }m=0\text{ and }s\neq 0\text{ and }z\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable H cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 174000000Hz.

$$\lambda \times 174000000Hz=\frac{3\times 10^{8}m}{s}$$

Calculate 10 to the power of 8 and get 100000000.

$$\lambda \times 174000000Hz=\frac{3\times 100000000m}{s}$$

Multiply 3 and 100000000 to get 300000000.

$$\lambda \times 174000000Hz=\frac{300000000m}{s}$$

Multiply both sides of the equation by s.

$$\lambda \times 174000000Hzs=300000000m$$

The equation is in standard form.

$$174000000sz\lambda H=300000000m$$

Divide both sides by 174000000\lambda zs.

$$\frac{174000000sz\lambda H}{174000000sz\lambda }=\frac{300000000m}{174000000sz\lambda }$$

Dividing by 174000000\lambda zs undoes the multiplication by 174000000\lambda zs.

$$H=\frac{300000000m}{174000000sz\lambda }$$

Divide 300000000m by 174000000\lambda zs.

$$H=\frac{50m}{29sz\lambda }$$

Variable H cannot be equal to 0.

$$H=\frac{50m}{29sz\lambda }\text{, }H\neq 0$$

Solve for m

$$m=\frac{29Hsz\lambda }{50}$$

$$s\neq 0\text{ and }z\neq 0\text{ and }H\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 174000000Hz.

$$\lambda \times 174000000Hz=\frac{3\times 10^{8}m}{s}$$

Calculate 10 to the power of 8 and get 100000000.

$$\lambda \times 174000000Hz=\frac{3\times 100000000m}{s}$$

Multiply 3 and 100000000 to get 300000000.

$$\lambda \times 174000000Hz=\frac{300000000m}{s}$$

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

$$\frac{300000000m}{s}=\lambda \times 174000000Hz$$

Multiply both sides of the equation by s.

$$300000000m=\lambda \times 174000000Hzs$$

The equation is in standard form.

$$300000000m=174000000Hsz\lambda$$

Divide both sides by 300000000.

$$\frac{300000000m}{300000000}=\frac{174000000Hsz\lambda }{300000000}$$

Dividing by 300000000 undoes the multiplication by 300000000.

$$m=\frac{174000000Hsz\lambda }{300000000}$$

Divide 174000000\lambda Hzs by 300000000.

$$m=\frac{29Hsz\lambda }{50}$$