1008=(2x-8)*(x+6)

Solution for 1008=(2x-8)*(x+6) equation:

1008=(2x-8)(x+6)

We move all terms to the left:

1008-((2x-8)(x+6))=0

We multiply parentheses ..

-((+2x^2+12x-8x-48))+1008=0


We calculate terms in parentheses: -((+2x^2+12x-8x-48)), so:

(+2x^2+12x-8x-48)

We get rid of parentheses

2x^2+12x-8x-48

We add all the numbers together, and all the variables

2x^2+4x-48

Back to the equation:

-(2x^2+4x-48)


We get rid of parentheses

-2x^2-4x+48+1008=0

We add all the numbers together, and all the variables

-2x^2-4x+1056=0

a = -2; b = -4; c = +1056;
Δ = b2-4ac
Δ = -42-4·(-2)·1056
Δ = 8464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8464}=92$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-92}{2*-2}=\frac{-88}{-4}
=+22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+92}{2*-2}=\frac{96}{-4}
=-24
$