Solve 8.0*10^2=3/2l*(4.8*10^2)

$$8.0 \times 10 ^ { 2 } = \frac { 3 } { 2 l } \times ( 4.8 \times 10 ^ { 2 } )$$

Solve for l

$$l=0.9$$

Steps for Solving Linear Equation

Variable l cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2l.

$$8\times 10^{2}\times 2l=3\times 4.8\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$8\times 100\times 2l=3\times 4.8\times 10^{2}$$

Multiply 8 and 100 to get 800.

$$800\times 2l=3\times 4.8\times 10^{2}$$

Multiply 800 and 2 to get 1600.

$$1600l=3\times 4.8\times 10^{2}$$

Multiply 3 and 4.8 to get 14.4.

$$1600l=14.4\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$1600l=14.4\times 100$$

Multiply 14.4 and 100 to get 1440.

$$1600l=1440$$

Divide both sides by 1600.

$$l=\frac{1440}{1600}$$

Reduce the fraction \frac{1440}{1600} to lowest terms by extracting and canceling out 160.

$$l=\frac{9}{10}$$