24/3(x)=8,x=

Solution for 24/3(x)=8,x= equation:

24/3(x)=8.x=

We move all terms to the left:

24/3(x)-(8.x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

24/3x-(+8.x)=0

We get rid of parentheses

24/3x-8.x=0

We multiply all the terms by the denominator


-(8.x)*3x+24=0

We add all the numbers together, and all the variables

-(+8.x)*3x+24=0

We multiply parentheses

-24x^2+24=0

a = -24; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-24)·24
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{-(0)-48}{2*-24}=\frac{-48}{-48}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-24}=\frac{48}{-48}
=-1
$