+-2x=6x/10x+8

Solution for +-2x=6x/10x+8 equation:

+-2x=6x/10x+8

We move all terms to the left:

+-2x-(6x/10x+8)=0


Domain of the equation: 10x+8)!=0

x∈R


We add all the numbers together, and all the variables

-2x-(6x/10x+8)=0

We get rid of parentheses

-2x-6x/10x-8=0

We multiply all the terms by the denominator


-2x*10x-6x-8*10x=0

We add all the numbers together, and all the variables

-6x-2x*10x-8*10x=0

Wy multiply elements

-20x^2-6x-80x=0

We add all the numbers together, and all the variables

-20x^2-86x=0

a = -20; b = -86; c = 0;
Δ = b2-4ac
Δ = -862-4·(-20)·0
Δ = 7396
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7396}=86$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-86)-86}{2*-20}=\frac{0}{-40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-86)+86}{2*-20}=\frac{172}{-40}
=-4+3/10
$