(2x-8)(x)=2170

Solution for (2x-8)(x)=2170 equation:

(2x-8)(x)=2170

We move all terms to the left:

(2x-8)(x)-(2170)=0

We multiply parentheses

2x^2-8x-2170=0

a = 2; b = -8; c = -2170;
Δ = b2-4ac
Δ = -82-4·2·(-2170)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-132}{2*2}=\frac{-124}{4}
=-31
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+132}{2*2}=\frac{140}{4}
=35
$