0=3x^2-17x-8

Solution for 0=3x^2-17x-8 equation:

0=3x^2-17x-8

We move all terms to the left:

0-(3x^2-17x-8)=0

We add all the numbers together, and all the variables

-(3x^2-17x-8)=0

We get rid of parentheses

-3x^2+17x+8=0

a = -3; b = 17; c = +8;
Δ = b2-4ac
Δ = 172-4·(-3)·8
Δ = 385
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{385}}{2*-3}=\frac{-17-\sqrt{385}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{385}}{2*-3}=\frac{-17+\sqrt{385}}{-6}
$