Answer
$x=\left\{ \dfrac{10}{3},20 \right\}$
Work Step by Step
Equating each factor to zero (Zero Product Principle), then the solutions to the equation, $
(1-0.05x)(1-0.3x)=0
,$ is
\begin{array}{l}\require{cancel}
1-0.05x=0
\\\\
-0.05x=-1
\\\\
x=\dfrac{-1}{-0.05}
\\\\
x=20
,\\\\\text{OR}\\\\
1-0.3x=0
\\\\
-0.3x=-1
\\\\
x=\dfrac{-1}{-0.3}
\\\\
x=\dfrac{10}{3}
.\end{array}
Hence, $
x=\left\{ \dfrac{10}{3},20 \right\}
.$