X-3/10x=105

Solution for X-3/10x=105 equation:

X-3/10X=105

We move all terms to the left:

X-3/10X-(105)=0


Domain of the equation: 10X!=0

X!=0/10

X!=0

X∈R


We multiply all the terms by the denominator


X*10X-105*10X-3=0

Wy multiply elements

10X^2-1050X-3=0

a = 10; b = -1050; c = -3;
Δ = b2-4ac
Δ = -10502-4·10·(-3)
Δ = 1102620
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1102620}=\sqrt{4*275655}=\sqrt{4}*\sqrt{275655}=2\sqrt{275655}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1050)-2\sqrt{275655}}{2*10}=\frac{1050-2\sqrt{275655}}{20}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1050)+2\sqrt{275655}}{2*10}=\frac{1050+2\sqrt{275655}}{20}
$