$$ \begin{align*} \textbf{Find the value of } \\&\left( 5 a-b\right)^2 + \left(b- 4 \right)^2 + \left( - 2 c - 5 \right)^2 = 0 \\&\left( 1 a-b\right)^2 + \left(b- 14 \right)^2 + \left( - 2 c - 5 \right)^2 = 0 \\&\left( 9 a-b\right)^2 + \left(b- 12 \right)^2 + \left( - 5 c - 5 \right)^2 = 0 \\&\text { where a, b and c are real numbers. } \\&\ \end{align*} $$