-0.8(0.2-4x)=2/2x-2.6

Solution for -0.8(0.2-4x)=2/2x-2.6 equation:

-0.8(0.2-4x)=2/2x-2.6

We move all terms to the left:

-0.8(0.2-4x)-(2/2x-2.6)=0


Domain of the equation: 2x-2.6)!=0

x∈R


We add all the numbers together, and all the variables

-0.8(-4x+0.2)-(2/2x-2.6)=0

We multiply parentheses

3.2x-(2/2x-2.6)-0.16=0

We get rid of parentheses

3.2x-2/2x+2.6-0.16=0

We multiply all the terms by the denominator


(3.2x)*2x+(2.6)*2x-(0.16)*2x-2=0

We add all the numbers together, and all the variables

(+3.2x)*2x+(2.6)*2x-(0.16)*2x-2=0

We multiply parentheses

6x^2+5.2x-0.32x-2=0

We add all the numbers together, and all the variables

6x^2+4.88x-2=0

a = 6; b = 4.88; c = -2;
Δ = b2-4ac
Δ = 4.882-4·6·(-2)
Δ = 71.8144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4.88)-\sqrt{71.8144}}{2*6}=\frac{-4.88-\sqrt{71.8144}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.88)+\sqrt{71.8144}}{2*6}=\frac{-4.88+\sqrt{71.8144}}{12}
$