x+2=20/100*8x-2

Solution for x+2=20/100*8x-2 equation:

x+2=20/100*8x-2

We move all terms to the left:

x+2-(20/100*8x-2)=0


Domain of the equation: 100*8x-2)!=0

x∈R


We get rid of parentheses

x-20/100*8x+2+2=0

We multiply all the terms by the denominator


x*100*8x+2*100*8x+2*100*8x-20=0

Wy multiply elements

800x^2*8+1600x*8+1600x*8-20=0

Wy multiply elements

6400x^2+12800x+12800x-20=0

We add all the numbers together, and all the variables

6400x^2+25600x-20=0

a = 6400; b = 25600; c = -20;
Δ = b2-4ac
Δ = 256002-4·6400·(-20)
Δ = 655872000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{655872000}=\sqrt{102400*6405}=\sqrt{102400}*\sqrt{6405}=320\sqrt{6405}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25600)-320\sqrt{6405}}{2*6400}=\frac{-25600-320\sqrt{6405}}{12800}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25600)+320\sqrt{6405}}{2*6400}=\frac{-25600+320\sqrt{6405}}{12800}
$