(2x-6)(8x+4)=0

Solution for (2x-6)(8x+4)=0 equation:

(2x-6)(8x+4)=0

We multiply parentheses ..

(+16x^2+8x-48x-24)=0

We get rid of parentheses

16x^2+8x-48x-24=0

We add all the numbers together, and all the variables

16x^2-40x-24=0

a = 16; b = -40; c = -24;
Δ = b2-4ac
Δ = -402-4·16·(-24)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-40)-56}{2*16}=\frac{-16}{32}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-40)+56}{2*16}=\frac{96}{32}
=3
$