/x-3x=20

Solution for /x-3x=20 equation:

/x-3x=20

We move all terms to the left:

/x-3x-(20)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-3x+/x-20=0

We multiply all the terms by the denominator


-3x*x-20*x+=0

We add all the numbers together, and all the variables

-20x-3x*x=0

Wy multiply elements

-3x^2-20x=0

a = -3; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·(-3)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*-3}=\frac{0}{-6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*-3}=\frac{40}{-6}
=-6+2/3
$