960=(8+2x)(x)

Solution for 960=(8+2x)(x) equation:

960=(8+2x)(x)

We move all terms to the left:

960-((8+2x)(x))=0

We add all the numbers together, and all the variables

-((2x+8)x)+960=0


We calculate terms in parentheses: -((2x+8)x), so:

(2x+8)x

We multiply parentheses

2x^2+8x

Back to the equation:

-(2x^2+8x)


We get rid of parentheses

-2x^2-8x+960=0

a = -2; b = -8; c = +960;
Δ = b2-4ac
Δ = -82-4·(-2)·960
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-88}{2*-2}=\frac{-80}{-4}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+88}{2*-2}=\frac{96}{-4}
=-24
$