X*(x-18)=175

Solution for X*(x-18)=175 equation:

X(X-18)=175

We move all terms to the left:

X(X-18)-(175)=0

We multiply parentheses

X^2-18X-175=0

a = 1; b = -18; c = -175;
Δ = b2-4ac
Δ = -182-4·1·(-175)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-32}{2*1}=\frac{-14}{2}
=-7
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+32}{2*1}=\frac{50}{2}
=25
$