X(2x-95)=180

Solution for X(2x-95)=180 equation:

X(2X-95)=180

We move all terms to the left:

X(2X-95)-(180)=0

We multiply parentheses

2X^2-95X-180=0

a = 2; b = -95; c = -180;
Δ = b2-4ac
Δ = -952-4·2·(-180)
Δ = 10465
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-95)-\sqrt{10465}}{2*2}=\frac{95-\sqrt{10465}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-95)+\sqrt{10465}}{2*2}=\frac{95+\sqrt{10465}}{4}
$