Помогите решить неравенство ( 15^x - 3^(x+1) - 5^(x+1) + 15 ) / ( -x^2+2x )>=0

$\frac{15^x-3^{x+1}-5^{x+1}+15}{-x^2+2x} \geq 0\\\\ -\frac{3^x5^x-3*3^{x}-5*5^{x}+3*5}{x^2-2x} \geq 0\\\\ \frac{3^x(5^x-3)-5(5^x-3)}{x^2-2x} \leq 0\\\\ \frac{(3^x-5)(5^x-3)}{x(x-2)} \leq 0\\\\\\ (3^x-5)(5^x-3)=0\\ 3^x-5=0\\ 3^x=5\\ x_1 = \log_35\\\\ 5^x-3=0\\ 5^x=3\\ x_2 = \log_53\\\\ x(x-2)=0\\ x_3=0\\ x_4=2\\$

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.........0...............(log_5(3)).................(log_3(5))..............2................

$x \in (0; \log_53] \cup [\log_35;2)\\$