(X-30)(75,000/x)=0

Solution for (X-30)(75,000/x)=0 equation:

(X-30)(75.000/X)=0


Domain of the equation: X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

(X-30)(+75.000/X)=0

We multiply parentheses ..

(+75X^2-2250X)=0

We get rid of parentheses

75X^2-2250X=0

a = 75; b = -2250; c = 0;
Δ = b2-4ac
Δ = -22502-4·75·0
Δ = 5062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5062500}=2250$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2250)-2250}{2*75}=\frac{0}{150}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2250)+2250}{2*75}=\frac{4500}{150}
=30
$