x=1/2x+2.2

Solution for x=1/2x+2.2 equation:

x=1/2x+2.2

We move all terms to the left:

x-(1/2x+2.2)=0


Domain of the equation: 2x+2.2)!=0

x∈R


We get rid of parentheses

x-1/2x-2.2=0

We multiply all the terms by the denominator


x*2x-(2.2)*2x-1=0

We multiply parentheses

x*2x-4.4x-1=0

Wy multiply elements

2x^2-4.4x-1=0

a = 2; b = -4.4; c = -1;
Δ = b2-4ac
Δ = -4.42-4·2·(-1)
Δ = 27.36
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{-(-4.4)-\sqrt{27.36}}{2*2}=\frac{4.4-\sqrt{27.36}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.4)+\sqrt{27.36}}{2*2}=\frac{4.4+\sqrt{27.36}}{4}
$