360/10x=x

Solution for 360/10x=x equation:

360/10x=x

We move all terms to the left:

360/10x-(x)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+360/10x=0

We multiply all the terms by the denominator


-1x*10x+360=0

Wy multiply elements

-10x^2+360=0

a = -10; b = 0; c = +360;
Δ = b2-4ac
Δ = 02-4·(-10)·360
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-120}{2*-10}=\frac{-120}{-20}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+120}{2*-10}=\frac{120}{-20}
=-6
$