8x^2-6x=2

Solution for 8x^2-6x=2 equation:

8x^2-6x=2

We move all terms to the left:

8x^2-6x-(2)=0

a = 8; b = -6; c = -2;
Δ = b2-4ac
Δ = -62-4·8·(-2)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-10}{2*8}=\frac{-4}{16}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+10}{2*8}=\frac{16}{16}
=1
$