Solve lambda=3*10^8m/3/95,2*10^3*frac{1{3}}

$$\lambda = \frac { 3 \cdot 10 ^ { 8 } \frac { m } { 3 } } { 95,2 \cdot 10 ^ { 3 } \cdot \frac { 1 } { 3 } }$$

Solve for m

$$m=\frac{119\lambda }{375000}$$

Steps for Solving Linear Equation

Calculate 10 to the power of 8 and get 100000000.

$$\lambda =\frac{3\times 100000000\times \frac{m}{3}}{95,2\times 10^{3}\times \frac{1}{3}}$$

Multiply 3 and 100000000 to get 300000000.

$$\lambda =\frac{300000000\times \frac{m}{3}}{95,2\times 10^{3}\times \frac{1}{3}}$$

Cancel out 3, the greatest common factor in 300000000 and 3.

$$\lambda =\frac{100000000m}{95,2\times 10^{3}\times \frac{1}{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\lambda =\frac{100000000m}{95,2\times 1000\times \frac{1}{3}}$$

Multiply 95,2 and 1000 to get 95200.

$$\lambda =\frac{100000000m}{95200\times \frac{1}{3}}$$

Multiply 95200 and \frac{1}{3} to get \frac{95200}{3}.

$$\lambda =\frac{100000000m}{\frac{95200}{3}}$$

Divide 100000000m by \frac{95200}{3} to get \frac{375000}{119}m.

$$\lambda =\frac{375000}{119}m$$

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

$$\frac{375000}{119}m=\lambda$$

Divide both sides of the equation by \frac{375000}{119}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{375000}{119}m}{\frac{375000}{119}}=\frac{\lambda }{\frac{375000}{119}}$$

Dividing by \frac{375000}{119} undoes the multiplication by \frac{375000}{119}.

$$m=\frac{\lambda }{\frac{375000}{119}}$$

Divide \lambda by \frac{375000}{119} by multiplying \lambda by the reciprocal of \frac{375000}{119}.

$$m=\frac{119\lambda }{375000}$$

Solve for λ

$$\lambda =\frac{375000m}{119}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\lambda =\frac{3\times 100000000\times \frac{m}{3}}{95,2\times 10^{3}\times \frac{1}{3}}$$

Multiply 3 and 100000000 to get 300000000.

$$\lambda =\frac{300000000\times \frac{m}{3}}{95,2\times 10^{3}\times \frac{1}{3}}$$

Cancel out 3, the greatest common factor in 300000000 and 3.

$$\lambda =\frac{100000000m}{95,2\times 10^{3}\times \frac{1}{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\lambda =\frac{100000000m}{95,2\times 1000\times \frac{1}{3}}$$

Multiply 95,2 and 1000 to get 95200.

$$\lambda =\frac{100000000m}{95200\times \frac{1}{3}}$$

Multiply 95200 and \frac{1}{3} to get \frac{95200}{3}.

$$\lambda =\frac{100000000m}{\frac{95200}{3}}$$

Divide 100000000m by \frac{95200}{3} to get \frac{375000}{119}m.

$$\lambda =\frac{375000}{119}m$$