[tex]3 {x}^{2} - 6x = 0[/tex]
[tex]a = 3[/tex]
[tex]b = - 6[/tex]
[tex]c = 0[/tex]
[tex]\Delta = {b}^{2} - 4ac[/tex]
[tex]\Delta = {( - 6)}^{2} - 4 \times 3 \times 0[/tex]
[tex]\Delta = 36 > 0 =>\exists \: \: x_{1} \neq x_{2} \: \in \: \mathbb{R}[/tex]
[tex]x_{1,2}=\frac{-b\pm\sqrt{\Delta}}{2a}[/tex]
[tex]x_{1,2}=\frac{-( - 6)\pm\sqrt{36}}{2 \times 3}[/tex]
[tex]x_{1,2}=\frac{6\pm6}{6}[/tex]
[tex]x_{1}=\frac{6 + 6}{6} = \frac{12}{6} = 2[/tex]
[tex]x_{2}=\frac{6 - 6}{6} = \frac{0}{6} = 0[/tex]
