-2x^2-14x=12

Solution for -2x^2-14x=12 equation:

-2x^2-14x=12

We move all terms to the left:

-2x^2-14x-(12)=0

a = -2; b = -14; c = -12;
Δ = b2-4ac
Δ = -142-4·(-2)·(-12)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-10}{2*-2}=\frac{4}{-4}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+10}{2*-2}=\frac{24}{-4}
=-6
$