X(3x+75)=0

Solution for X(3x+75)=0 equation:

X(3X+75)=0

We multiply parentheses

3X^2+75X=0

a = 3; b = 75; c = 0;
Δ = b2-4ac
Δ = 752-4·3·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-75}{2*3}=\frac{-150}{6}
=-25
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+75}{2*3}=\frac{0}{6}
=0
$