25 × 2^x - 10^x +5^x > 25Помогите,какие есть мысли?

$25*2^x-10^x+5^x\ \textgreater \ 25$

$25*2^x-10^x+5^x-25\ \textgreater \ 0$

$(25*2^x-25)-(10^x-5^x)\ \textgreater \ 0$

$25(2^x-1)-5^x(2^x-1)\ \textgreater \ 0$

$(25-5^x)(2^x-1)\ \textgreater \ 0$

$25-5^x=0$ $2^x-1=0$
$5^x=5^2$ $2^x=2^0$
$x=2$ $x=0$

- + -
-----------(0)-----------------(2)---------------
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$x$ ∈ $(0;2)$

Ответ: $(0;2)$