x(3x-75)=370

Solution for x(3x-75)=370 equation:

x(3x-75)=370

We move all terms to the left:

x(3x-75)-(370)=0

We multiply parentheses

3x^2-75x-370=0

a = 3; b = -75; c = -370;
Δ = b2-4ac
Δ = -752-4·3·(-370)
Δ = 10065
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{-(-75)-\sqrt{10065}}{2*3}=\frac{75-\sqrt{10065}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+\sqrt{10065}}{2*3}=\frac{75+\sqrt{10065}}{6}
$