27+6x=8.1/4x

Solution for 27+6x=8.1/4x equation:

27+6x=8.1/4x

We move all terms to the left:

27+6x-(8.1/4x)=0


Domain of the equation: 4x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6x-(+8.1/4x)+27=0

We get rid of parentheses

6x-8.1/4x+27=0

We multiply all the terms by the denominator


6x*4x+27*4x-8.1=0

Wy multiply elements

24x^2+108x-8.1=0

a = 24; b = 108; c = -8.1;
Δ = b2-4ac
Δ = 1082-4·24·(-8.1)
Δ = 12441.6
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{-(108)-\sqrt{12441.6}}{2*24}=\frac{-108-\sqrt{12441.6}}{48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+\sqrt{12441.6}}{2*24}=\frac{-108+\sqrt{12441.6}}{48}
$