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

Solution for (6-x)(x+8)*2=0 equation:

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

We add all the numbers together, and all the variables

(-1x+6)(x+8)*2=0

We multiply parentheses ..

(-1x^2-8x+6x+48)*2=0

We multiply parentheses

-2x^2-16x+12x+96=0

We add all the numbers together, and all the variables

-2x^2-4x+96=0

a = -2; b = -4; c = +96;
Δ = b2-4ac
Δ = -42-4·(-2)·96
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-28}{2*-2}=\frac{-24}{-4}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+28}{2*-2}=\frac{32}{-4}
=-8
$