Answer:
[tex]x=\frac{3}{8},\:x=0[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}[/tex]
[tex]\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}[/tex]
[tex]=\sqrt{3^2-4\cdot \:8\cdot \:0}[/tex]
[tex]\sqrt{3^2}[/tex]
3
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}[/tex]
Separate the solutions:
[tex]x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}[/tex]
[tex]x=\frac{3}{8},\:x=0[/tex]