X/4x-20-2x=50

Solution for X/4x-20-2x=50 equation:

X/4X-20-2X=50

We move all terms to the left:

X/4X-20-2X-(50)=0


Domain of the equation: 4X!=0

X!=0/4

X!=0

X∈R


We add all the numbers together, and all the variables

-2X+X/4X-70=0

We multiply all the terms by the denominator


-2X*4X+X-70*4X=0

We add all the numbers together, and all the variables

X-2X*4X-70*4X=0

Wy multiply elements

-8X^2+X-280X=0

We add all the numbers together, and all the variables

-8X^2-279X=0

a = -8; b = -279; c = 0;
Δ = b2-4ac
Δ = -2792-4·(-8)·0
Δ = 77841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{77841}=279$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-279)-279}{2*-8}=\frac{0}{-16}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-279)+279}{2*-8}=\frac{558}{-16}
=-34+7/8
$