(2x-15)x=97.5

Solution for (2x-15)x=97.5 equation:

(2x-15)x=97.5

We move all terms to the left:

(2x-15)x-(97.5)=0

We add all the numbers together, and all the variables

(2x-15)x-97.5=0

We multiply parentheses

2x^2-15x-97.5=0

a = 2; b = -15; c = -97.5;
Δ = b2-4ac
Δ = -152-4·2·(-97.5)
Δ = 1005
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{-(-15)-\sqrt{1005}}{2*2}=\frac{15-\sqrt{1005}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{1005}}{2*2}=\frac{15+\sqrt{1005}}{4}
$