30=x/3x*6x

Solution for 30=x/3x*6x equation:

30=x/3x*6x

We move all terms to the left:

30-(x/3x*6x)=0


Domain of the equation: 3x*6x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x/3x*6x)+30=0

We get rid of parentheses

-x/3x*6x+30=0

We multiply all the terms by the denominator


-x+30*3x*6x=0

We add all the numbers together, and all the variables

-1x+30*3x*6x=0

Wy multiply elements

540x^2*6-1x=0

Wy multiply elements

3240x^2-1x=0

a = 3240; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·3240·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*3240}=\frac{0}{6480}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*3240}=\frac{2}{6480}
=1/3240
$