x(3x+25)=180

Solution for x(3x+25)=180 equation:

x(3x+25)=180

We move all terms to the left:

x(3x+25)-(180)=0

We multiply parentheses

3x^2+25x-180=0

a = 3; b = 25; c = -180;
Δ = b2-4ac
Δ = 252-4·3·(-180)
Δ = 2785
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{-(25)-\sqrt{2785}}{2*3}=\frac{-25-\sqrt{2785}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{2785}}{2*3}=\frac{-25+\sqrt{2785}}{6}
$