x/4x-2x+20=0

Solution for x/4x-2x+20=0 equation:

x/4x-2x+20=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+20=0

We multiply all the terms by the denominator


-2x*4x+x+20*4x=0

We add all the numbers together, and all the variables

x-2x*4x+20*4x=0

Wy multiply elements

-8x^2+x+80x=0

We add all the numbers together, and all the variables

-8x^2+81x=0

a = -8; b = 81; c = 0;
Δ = b2-4ac
Δ = 812-4·(-8)·0
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(81)-81}{2*-8}=\frac{-162}{-16}
=10+1/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(81)+81}{2*-8}=\frac{0}{-16}
=0
$