Solve 1/{left({R_{L}right)}^}=1/16+1/16+1/16+frac{1}{16}

$$\frac{ 1 }{ { \left( { R }_{ L } \right) }^{ } } = \frac{ 1 }{ 16 } + \frac{ 1 }{ 16 } + \frac{ 1 }{ 16 } + \frac{ 1 }{ 16 }$$

Solve for R_L

$$R_{L}=4$$

Steps for Solving Linear Equation

Variable R_{L} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16R_{L}, the least common multiple of R_{L}^{1},16.

$$16=16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}$$

Multiply 16 and \frac{1}{16} to get 1.

$$16=R_{L}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}$$

Multiply 16 and \frac{1}{16} to get 1.

$$16=R_{L}+R_{L}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}$$

Combine R_{L} and R_{L} to get 2R_{L}.

$$16=2R_{L}+16R_{L}\times \frac{1}{16}+16R_{L}\times \frac{1}{16}$$

Multiply 16 and \frac{1}{16} to get 1.

$$16=2R_{L}+R_{L}+16R_{L}\times \frac{1}{16}$$

Combine 2R_{L} and R_{L} to get 3R_{L}.

$$16=3R_{L}+16R_{L}\times \frac{1}{16}$$

Multiply 16 and \frac{1}{16} to get 1.

$$16=3R_{L}+R_{L}$$

Combine 3R_{L} and R_{L} to get 4R_{L}.

$$16=4R_{L}$$

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

$$4R_{L}=16$$

Divide both sides by 4.

$$R_{L}=\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$R_{L}=4$$