2(-2+(-3/5y))-3y=-4

Solution for 2(-2+(-3/5y))-3y=-4 equation:

2(-2+(-3/5y))-3y=-4

We move all terms to the left:

2(-2+(-3/5y))-3y-(-4)=0


Domain of the equation: 5y))!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

-3y+2(-2+(-3/5y))+4=0

We multiply all the terms by the denominator


-3y*5y))+2(-2+(+4*5y))-3=0

Wy multiply elements

-15y^2+20y=0

a = -15; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-15)·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-15}=\frac{-40}{-30}
=1+1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-15}=\frac{0}{-30}
=0
$