2x-2=(5/3x)-5

Solution for 2x-2=(5/3x)-5 equation:

2x-2=(5/3x)-5

We move all terms to the left:

2x-2-((5/3x)-5)=0


Domain of the equation: 3x)-5)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2x-((+5/3x)-5)-2=0

We multiply all the terms by the denominator


2x*3x)-5)-((-2*3x)-5)+5=0

Wy multiply elements

6x^2-6x=0

a = 6; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·6·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*6}=\frac{12}{12}
=1
$