6/15x=x/30x

Solution for 6/15x=x/30x equation:

6/15x=x/30x

We move all terms to the left:

6/15x-(x/30x)=0


Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R



Domain of the equation: 30x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6/15x-(+x/30x)=0

We get rid of parentheses

6/15x-x/30x=0

We calculate fractions


(-15x^2)/450x^2+180x/450x^2=0

We multiply all the terms by the denominator


(-15x^2)+180x=0

We get rid of parentheses

-15x^2+180x=0

a = -15; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-15)·0
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-15}=\frac{-360}{-30}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-15}=\frac{0}{-30}
=0
$