-8x^2-15x+2=1

Solution for -8x^2-15x+2=1 equation:

-8x^2-15x+2=1

We move all terms to the left:

-8x^2-15x+2-(1)=0

We add all the numbers together, and all the variables

-8x^2-15x+1=0

a = -8; b = -15; c = +1;
Δ = b2-4ac
Δ = -152-4·(-8)·1
Δ = 257
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{-(-15)-\sqrt{257}}{2*-8}=\frac{15-\sqrt{257}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{257}}{2*-8}=\frac{15+\sqrt{257}}{-16}
$