(12x)(x+2)=960

Solution for (12x)(x+2)=960 equation:

(12x)(x+2)=960

We move all terms to the left:

(12x)(x+2)-(960)=0

We multiply parentheses

12x^2+24x-960=0

a = 12; b = 24; c = -960;
Δ = b2-4ac
Δ = 242-4·12·(-960)
Δ = 46656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46656}=216$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-216}{2*12}=\frac{-240}{24}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+216}{2*12}=\frac{192}{24}
=8
$