/x+8x+2x=6-50

Solution for /x+8x+2x=6-50 equation:

/x+8x+2x=6-50

We move all terms to the left:

/x+8x+2x-(6-50)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

/x+8x+2x-(-44)=0

We add all the numbers together, and all the variables

10x+/x+44=0

We multiply all the terms by the denominator


10x*x+44*x+=0

We add all the numbers together, and all the variables

44x+10x*x=0

Wy multiply elements

10x^2+44x=0

a = 10; b = 44; c = 0;
Δ = b2-4ac
Δ = 442-4·10·0
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-44}{2*10}=\frac{-88}{20}
=-4+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+44}{2*10}=\frac{0}{20}
=0
$