X^2-9x+11x+12=180

Solution for X^2-9x+11x+12=180 equation:

X^2-9X+11X+12=180

We move all terms to the left:

X^2-9X+11X+12-(180)=0

We add all the numbers together, and all the variables

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