6x^2+72x-170=-2

Solution for 6x^2+72x-170=-2 equation:

6x^2+72x-170=-2

We move all terms to the left:

6x^2+72x-170-(-2)=0

We add all the numbers together, and all the variables

6x^2+72x-168=0

a = 6; b = 72; c = -168;
Δ = b2-4ac
Δ = 722-4·6·(-168)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-96}{2*6}=\frac{-168}{12}
=-14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+96}{2*6}=\frac{24}{12}
=2
$