8x*x-8x-160=0

Solution for 8x*x-8x-160=0 equation:

8x*x-8x-160=0

We add all the numbers together, and all the variables

-8x+8x*x-160=0

Wy multiply elements

8x^2-8x-160=0

a = 8; b = -8; c = -160;
Δ = b2-4ac
Δ = -82-4·8·(-160)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-72}{2*8}=\frac{-64}{16}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+72}{2*8}=\frac{80}{16}
=5
$