(30x^2)+105x+175=90

Solution for (30x^2)+105x+175=90 equation:

(30x^2)+105x+175=90

We move all terms to the left:

(30x^2)+105x+175-(90)=0

We add all the numbers together, and all the variables

30x^2+105x+85=0

a = 30; b = 105; c = +85;
Δ = b2-4ac
Δ = 1052-4·30·85
Δ = 825
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{825}=\sqrt{25*33}=\sqrt{25}*\sqrt{33}=5\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(105)-5\sqrt{33}}{2*30}=\frac{-105-5\sqrt{33}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(105)+5\sqrt{33}}{2*30}=\frac{-105+5\sqrt{33}}{60}
$