x=2.7/0.3x=9+4.4408920985E-16/0.3

Solution for x=2.7/0.3x=9+4.4408920985E-16/0.3 equation:

x=2.7/0.3x=9+4.4408920985-16/0.3

We move all terms to the left:

x-(2.7/0.3x)=0


Domain of the equation: 0.3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+2.7/0.3x)=0

We get rid of parentheses

x-2.7/0.3x=0

We multiply all the terms by the denominator


x*0.3x-2.7=0

Wy multiply elements

0x^2-2.7=0

We add all the numbers together, and all the variables

x^2-2.7=0

a = 1; b = 0; c = -2.7;
Δ = b2-4ac
Δ = 02-4·1·(-2.7)
Δ = 10.8
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{-(0)-\sqrt{10.8}}{2*1}=\frac{0-\sqrt{10.8}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10.8}}{2*1}=\frac{0+\sqrt{10.8}}{2}
=\frac{\sqrt{}}{2}
$