-48x/3x=8x

Solution for -48x/3x=8x equation:

-48x/3x=8x

We move all terms to the left:

-48x/3x-(8x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

-8x-48x/3x=0

We multiply all the terms by the denominator


-8x*3x-48x=0

We add all the numbers together, and all the variables

-48x-8x*3x=0

Wy multiply elements

-24x^2-48x=0

a = -24; b = -48; c = 0;
Δ = b2-4ac
Δ = -482-4·(-24)·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-48}{2*-24}=\frac{0}{-48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+48}{2*-24}=\frac{96}{-48}
=-2
$