3x(x+155)=432450

Solution for 3x(x+155)=432450 equation:

3x(x+155)=432450

We move all terms to the left:

3x(x+155)-(432450)=0

We multiply parentheses

3x^2+465x-432450=0

a = 3; b = 465; c = -432450;
Δ = b2-4ac
Δ = 4652-4·3·(-432450)
Δ = 5405625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5405625}=2325$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(465)-2325}{2*3}=\frac{-2790}{6}
=-465
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(465)+2325}{2*3}=\frac{1860}{6}
=310
$