168=(x+2)x

Solution for 168=(x+2)x equation:

168=(x+2)x

We move all terms to the left:

168-((x+2)x)=0


We calculate terms in parentheses: -((x+2)x), so:

(x+2)x

We multiply parentheses

x^2+2x

Back to the equation:

-(x^2+2x)


We get rid of parentheses

-x^2-2x+168=0

We add all the numbers together, and all the variables

-1x^2-2x+168=0

a = -1; b = -2; c = +168;
Δ = b2-4ac
Δ = -22-4·(-1)·168
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-26}{2*-1}=\frac{-24}{-2}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+26}{2*-1}=\frac{28}{-2}
=-14
$