User:TechIL7/Sandbox

$$	\begin{align} {{a}_{0}}-x\cdot {{a}_{0}}={{a}_{1}} \\ {{b}_{0}}-x\cdot {{b}_{0}}={{b}_{1}} \\ -	\end{align} $$

$$ \begin{align} {{a}_{0}}\cdot \left( 1-x \right)={{a}_{1}} \\ & \Rightarrow {{a}_{0}}=\frac{1-x} \\ {{b}_{0}}\cdot \left( 1-x \right)={{b}_{1}} \\ & \Rightarrow {{b}_{0}}=\frac{1-x} \\ - \end{align} $$

$$ \begin{align} \frac{1} + \frac{1}=1 \\ - \end{align} $$

$$	\begin{align} \frac{1-x} + \frac{1-x} = 1 \\ & \Rightarrow \left( 1-x \right)\frac{{{a}_{1}}+{{b}_{1}}}{{{a}_{1}}\cdot {{b}_{1}}}=1 \\ -	\end{align} $$

$$	\begin{align} 1-x=\frac{{{a}_{1}}\cdot {{b}_{1}}}{{{a}_{1}}+{{b}_{1}}} \\ & \Rightarrow x\left( \text{margin} \right)=1-\frac{{{a}_{1}}\cdot {{b}_{1}}}{{{a}_{1}}+{{b}_{1}}} \end{align} $$