50-1/2s=70-3/4s

Solution for 50-1/2s=70-3/4s equation:

50-1/2s=70-3/4s

We move all terms to the left:

50-1/2s-(70-3/4s)=0


Domain of the equation: 2s!=0

s!=0/2

s!=0

s∈R



Domain of the equation: 4s)!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

-1/2s-(-3/4s+70)+50=0

We get rid of parentheses

-1/2s+3/4s-70+50=0

We calculate fractions


(-4s)/8s^2+6s/8s^2-70+50=0

We add all the numbers together, and all the variables

(-4s)/8s^2+6s/8s^2-20=0

We multiply all the terms by the denominator


(-4s)+6s-20*8s^2=0

We add all the numbers together, and all the variables

6s+(-4s)-20*8s^2=0

Wy multiply elements

-160s^2+6s+(-4s)=0

We get rid of parentheses

-160s^2+6s-4s=0

We add all the numbers together, and all the variables

-160s^2+2s=0

a = -160; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-160)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-160}=\frac{-4}{-320}
=1/80
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-160}=\frac{0}{-320}
=0
$