X-4/10x=72

Solution for X-4/10x=72 equation:

X-4/10X=72

We move all terms to the left:

X-4/10X-(72)=0


Domain of the equation: 10X!=0

X!=0/10

X!=0

X∈R


We multiply all the terms by the denominator


X*10X-72*10X-4=0

Wy multiply elements

10X^2-720X-4=0

a = 10; b = -720; c = -4;
Δ = b2-4ac
Δ = -7202-4·10·(-4)
Δ = 518560
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:

$\sqrt{\Delta}=\sqrt{518560}=\sqrt{16*32410}=\sqrt{16}*\sqrt{32410}=4\sqrt{32410}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-720)-4\sqrt{32410}}{2*10}=\frac{720-4\sqrt{32410}}{20}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-720)+4\sqrt{32410}}{2*10}=\frac{720+4\sqrt{32410}}{20}
$