8.1/2x-12=12,x=48,

Solution for 8.1/2x-12=12,x=48, equation:

8.1/2x-12=12.x=48.

We move all terms to the left:

8.1/2x-12-(12.x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

8.1/2x-(+12.x)-12=0

We get rid of parentheses

8.1/2x-12.x-12=0

We multiply all the terms by the denominator


-(12.x)*2x-12*2x+8.1=0

We add all the numbers together, and all the variables

-(+12.x)*2x-12*2x+8.1=0

We multiply parentheses

-24x^2-12*2x+8.1=0

Wy multiply elements

-24x^2-24x+8.1=0

a = -24; b = -24; c = +8.1;
Δ = b2-4ac
Δ = -242-4·(-24)·8.1
Δ = 1353.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-\sqrt{1353.6}}{2*-24}=\frac{24-\sqrt{1353.6}}{-48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+\sqrt{1353.6}}{2*-24}=\frac{24+\sqrt{1353.6}}{-48}
$