6x^2+18x-166=2

Solution for 6x^2+18x-166=2 equation:

6x^2+18x-166=2

We move all terms to the left:

6x^2+18x-166-(2)=0

We add all the numbers together, and all the variables

6x^2+18x-168=0

a = 6; b = 18; c = -168;
Δ = b2-4ac
Δ = 182-4·6·(-168)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-66}{2*6}=\frac{-84}{12}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+66}{2*6}=\frac{48}{12}
=4
$