X2-8x=180

Solution for X2-8x=180 equation:

X2-8X=180

We move all terms to the left:

X2-8X-(180)=0

We add all the numbers together, and all the variables

X^2-8X-180=0

a = 1; b = -8; c = -180;
Δ = b2-4ac
Δ = -82-4·1·(-180)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-28}{2*1}=\frac{-20}{2}
=-10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+28}{2*1}=\frac{36}{2}
=18
$