(3x+19)*5x=180

Solution for (3x+19)*5x=180 equation:

(3x+19)*5x=180

We move all terms to the left:

(3x+19)*5x-(180)=0

We multiply parentheses

15x^2+95x-180=0

a = 15; b = 95; c = -180;
Δ = b2-4ac
Δ = 952-4·15·(-180)
Δ = 19825
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:

$\sqrt{\Delta}=\sqrt{19825}=\sqrt{25*793}=\sqrt{25}*\sqrt{793}=5\sqrt{793}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(95)-5\sqrt{793}}{2*15}=\frac{-95-5\sqrt{793}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+5\sqrt{793}}{2*15}=\frac{-95+5\sqrt{793}}{30}
$