$\text{a)}8x-3x^2=0$  

$-3x^2+8x=0:\left(-3\right)$  

$x^2-\frac{8}{3}x=0$  

$x\left(x-\frac{8}{3}\right)=0$  

$x=0\text{lub}x-\frac{8}{3}=0$  

$x=0\text{lub}x=\frac{8}{3}$  

$x=0\text{lub}x=2\frac{2}{3}$  

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$\text{b)}7x^2=3x$  

$7x^2-3x=0\mid :7$  

$x^2-\frac{3}{7}x=0$  

$x\left(x-\frac{3}{7}\right)=0$  

$x=0\text{lub}x-\frac{3}{7}=0$  

$x=0\text{lub}x=\frac{3}{7}$  

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$\text{c)}\sqrt{2}{x}^2-\sqrt{8}x=0$  

$\sqrt{2}{x}^2-2\sqrt{2}x=0\mid :\sqrt{2}$  

$x^2-2x=0$  

$x\left(x-2\right)=0$  

$x=0\text{lub}x-2=0$  

$x=0\text{lub}x=2$  

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$\text{d)}4x^2-25=0$  

$4x^2=25\mid :4$  

$x^2=\frac{25}{4}$  

$x=\frac{5}{2}\text{lub}x=-\frac{5}{2}$  

$x=2\frac{1}{2}\text{lub}x=-2\frac{1}{2}$  

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$\text{e)}{\left(2x-1\right)}^2=16$  

$2x-1=4\text{lub}2x-1=-4$  

$2x=5\text{lub}2x=-3\mid :2$  

$x=\frac{5}{2}\text{lub}x=-\frac{3}{2}$  

$x=2\frac{1}{2}\text{lub}x=-1\frac{1}{2}$  

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$\text{f)}3{\left(x+1\right)}^2-1=0$  

$3{\left(x+1\right)}^2=1\mid :3$  

${\left(x+1\right)}^2=\frac{1}{3}$  

$x+1=\frac{1}{\sqrt{3}}\text{lub}x+1=-\frac{1}{\sqrt{3}}$  

$x+1=\frac{\sqrt{3}}{3}\text{lub}x+1=-\frac{\sqrt{3}}{3}$  

$x=\frac{\sqrt{3}}{3}-1\text{lub}x=-\frac{\sqrt{3}}{3}-1$  

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$\text{g)}{x}^2-4x+4=0$  

${\left(x-2\right)}^2=0$  

$x-2=0$  

$x=2$