/x+2+x+2=3x

Solution for /x+2+x+2=3x equation:

/x+2+x+2=3x

We move all terms to the left:

/x+2+x+2-(3x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-2x+/x+4=0

We multiply all the terms by the denominator


-2x*x+4*x+=0

We add all the numbers together, and all the variables

4x-2x*x=0

Wy multiply elements

-2x^2+4x=0

a = -2; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-2)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-2}=\frac{-8}{-4}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-2}=\frac{0}{-4}
=0
$