`x xx (1/8 + 1/16 + 1/32 + 1/64)=1/64`
`=> x xx ( 8/64 + 4/64 + 2/32 + 1/64 ) = 1/64`
`=> x xx 15/64 = 1/64`
`=> x = 1/64 xx 15/64`
`=> x = 1/15`
\(X\times\left(\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64}\right)=\dfrac{1}{64}\)
\(X\times\left(\dfrac{8}{64}+\dfrac{4}{64}+\dfrac{2}{64}+\dfrac{1}{64}\right)=\dfrac{1}{64}\)
\(X\times\dfrac{15}{64}=\dfrac{1}{64}\)
\(X=\dfrac{1}{64}\div\dfrac{15}{64}\)
\(X=\dfrac{1}{15}\)
X x \(\dfrac{15}{64}=\dfrac{1}{64}\)
X=\(\dfrac{1}{15}\)