1x/6x=x/360

Solution for 1x/6x=x/360 equation:

1x/6x=x/360

We move all terms to the left:

1x/6x-(x/360)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

1x/6x-(+x/360)=0

We get rid of parentheses

1x/6x-x/360=0

We calculate fractions


(-6x^2)/2160x+360x/2160x=0

We multiply all the terms by the denominator


(-6x^2)+360x=0

We get rid of parentheses

-6x^2+360x=0

a = -6; b = 360; c = 0;
Δ = b2-4ac
Δ = 3602-4·(-6)·0
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-360}{2*-6}=\frac{-720}{-12}
=+60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+360}{2*-6}=\frac{0}{-12}
=0
$