8(3x-1)(x+6)=0

Solution for 8(3x-1)(x+6)=0 equation:

8(3x-1)(x+6)=0

We multiply parentheses ..

8(+3x^2+18x-1x-6)=0

We multiply parentheses

24x^2+144x-8x-48=0

We add all the numbers together, and all the variables

24x^2+136x-48=0

a = 24; b = 136; c = -48;
Δ = b2-4ac
Δ = 1362-4·24·(-48)
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(136)-152}{2*24}=\frac{-288}{48}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(136)+152}{2*24}=\frac{16}{48}
=1/3
$