0=-8x^2+11x-2

Solution for 0=-8x^2+11x-2 equation:

0=-8x^2+11x-2

We move all terms to the left:

0-(-8x^2+11x-2)=0

We add all the numbers together, and all the variables

-(-8x^2+11x-2)=0

We get rid of parentheses

8x^2-11x+2=0

a = 8; b = -11; c = +2;
Δ = b2-4ac
Δ = -112-4·8·2
Δ = 57
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{-(-11)-\sqrt{57}}{2*8}=\frac{11-\sqrt{57}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{57}}{2*8}=\frac{11+\sqrt{57}}{16}
$