20+16x/4x=x

Solution for 20+16x/4x=x equation:

20+16x/4x=x

We move all terms to the left:

20+16x/4x-(x)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+16x/4x+20=0

We multiply all the terms by the denominator


-1x*4x+16x+20*4x=0

We add all the numbers together, and all the variables

16x-1x*4x+20*4x=0

Wy multiply elements

-4x^2+16x+80x=0

We add all the numbers together, and all the variables

-4x^2+96x=0

a = -4; b = 96; c = 0;
Δ = b2-4ac
Δ = 962-4·(-4)·0
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-96}{2*-4}=\frac{-192}{-8}
=+24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+96}{2*-4}=\frac{0}{-8}
=0
$