2/3s-5/5s+1/2=-3/2

Solution for 2/3s-5/5s+1/2=-3/2 equation:

2/3s-5/5s+1/2=-3/2

We move all terms to the left:

2/3s-5/5s+1/2-(-3/2)=0


Domain of the equation: 3s!=0

s!=0/3

s!=0

s∈R



Domain of the equation: 5s!=0

s!=0/5

s!=0

s∈R


We get rid of parentheses

2/3s-5/5s+1/2+3/2=0

We calculate fractions


40s/60s^2+(-60s)/60s^2+(225s^2+1)/60s^2=0

We multiply all the terms by the denominator


40s+(-60s)+(225s^2+1)=0

We get rid of parentheses

225s^2+40s-60s+1=0

We add all the numbers together, and all the variables

225s^2-20s+1=0

a = 225; b = -20; c = +1;
Δ = b2-4ac
Δ = -202-4·225·1
Δ = -500
Delta is less than zero, so there is no solution for the equation