8*x*x+8*x-6=0

Solution for 8*x*x+8*x-6=0 equation:

8x*x+8x-6=0

We add all the numbers together, and all the variables

8x+8x*x-6=0

Wy multiply elements

8x^2+8x-6=0

a = 8; b = 8; c = -6;
Δ = b2-4ac
Δ = 82-4·8·(-6)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-16}{2*8}=\frac{-24}{16}
=-1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+16}{2*8}=\frac{8}{16}
=1/2
$