[tex]6x^2-3x=0\\3x(2x-1)=0\\3x=0 \vee 2x-1=0\\x=0 \vee 2x=1\\x=0 \vee x=\frac{1}{2}[/tex]
[tex]4x^2-16=0\\4x^2=16\\x^2=4\\x=2 \vee x=-2[/tex]
[tex]2x^2-3x+4=0\\a=2\\b=-3\\c=4\\\Delta =b^2-4ac\\\Delta=(-3)^2-4 \cdot 2\cdot4\\\Delta = 9 - 32\\\Delta = -23\\\Delta < 0\\x\notin \mathbb{R}[/tex]
