X/8x-2-5x=8

Solution for X/8x-2-5x=8 equation:

X/8X-2-5X=8

We move all terms to the left:

X/8X-2-5X-(8)=0


Domain of the equation: 8X!=0

X!=0/8

X!=0

X∈R


We add all the numbers together, and all the variables

-5X+X/8X-10=0

We multiply all the terms by the denominator


-5X*8X+X-10*8X=0

We add all the numbers together, and all the variables

X-5X*8X-10*8X=0

Wy multiply elements

-40X^2+X-80X=0

We add all the numbers together, and all the variables

-40X^2-79X=0

a = -40; b = -79; c = 0;
Δ = b2-4ac
Δ = -792-4·(-40)·0
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-79}{2*-40}=\frac{0}{-80}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+79}{2*-40}=\frac{158}{-80}
=-1+39/40
$