15x2-2x=8

Solution for 15x2-2x=8 equation:

15x^2-2x=8

We move all terms to the left:

15x^2-2x-(8)=0

a = 15; b = -2; c = -8;
Δ = b2-4ac
Δ = -22-4·15·(-8)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-22}{2*15}=\frac{-20}{30}
=-2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+22}{2*15}=\frac{24}{30}
=4/5
$