(8x-12)*X=308

Solution for (8x-12)*X=308 equation:

(8x-12)*x=308

We move all terms to the left:

(8x-12)*x-(308)=0

We multiply parentheses

8x^2-12x-308=0

a = 8; b = -12; c = -308;
Δ = b2-4ac
Δ = -122-4·8·(-308)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-100}{2*8}=\frac{-88}{16}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+100}{2*8}=\frac{112}{16}
=7
$