Cześć!
a)
[tex]x(x-7)=0\\\\x=0 \ \ \ \vee \ \ \ x-7=0\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=7}[/tex]
b)
[tex]2x(1-x)=0\\\\2x=0 \ \ \ \vee \ \ \ 1-x=0\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=1}[/tex]
c)
[tex]x(4x-8)=0\\\\x=0 \ \ \ \vee \ \ \ 4x-8=0\\\\x=0 \ \ \ \vee \ \ \ 4x=8 \ \ /:4\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=2}[/tex]
d)
[tex]5x^2+15x=0 \ \ /:5\\\\x^2+3x=0\\\\x(x+3)=0\\\\x=0 \ \ \ \vee \ \ \ x+3=0\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=-3}[/tex]
e)
[tex]8x-4x^2=0 \ \ /:(-4)\\\\x^2-2x=0\\\\x(x-2)=0\\\\x=0 \ \ \ \vee \ \ \ x-2=0\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=2}[/tex]
f)
[tex]4x^2=10x\\\\4x^2-10x=0 \ \ /:2\\\\2x^2-5x=0\\\\2x(x-2,5)=0\\\\2x=0 \ \ \ \vee \ \ \ x-2,5=0\\\\\boxed{x_1=0} \ \ \ \vee \ \ \ \boxed{x_2=2,5}[/tex]
