X^2-8x-180X=0

Solution for X^2-8x-180X=0 equation:

X^2-8X-180X=0

We add all the numbers together, and all the variables

X^2-188X=0

a = 1; b = -188; c = 0;
Δ = b2-4ac
Δ = -1882-4·1·0
Δ = 35344
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{35344}=188$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-188)-188}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-188)+188}{2*1}=\frac{376}{2}
=188
$