-2+2x+2/5x=135/5

Solution for -2+2x+2/5x=135/5 equation:

-2+2x+2/5x=135/5

We move all terms to the left:

-2+2x+2/5x-(135/5)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

2x+2/5x-2-27=0

We add all the numbers together, and all the variables

2x+2/5x-29=0

We multiply all the terms by the denominator


2x*5x-29*5x+2=0

Wy multiply elements

10x^2-145x+2=0

a = 10; b = -145; c = +2;
Δ = b2-4ac
Δ = -1452-4·10·2
Δ = 20945
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{-(-145)-\sqrt{20945}}{2*10}=\frac{145-\sqrt{20945}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-145)+\sqrt{20945}}{2*10}=\frac{145+\sqrt{20945}}{20}
$