8/9s-7/8s=7/36

Solution for 8/9s-7/8s=7/36 equation:

8/9s-7/8s=7/36

We move all terms to the left:

8/9s-7/8s-(7/36)=0


Domain of the equation: 9s!=0

s!=0/9

s!=0

s∈R



Domain of the equation: 8s!=0

s!=0/8

s!=0

s∈R


We add all the numbers together, and all the variables

8/9s-7/8s-(+7/36)=0

We get rid of parentheses

8/9s-7/8s-7/36=0

We calculate fractions


(-4032s^2)/7776s^2+6912s/7776s^2+(-6804s)/7776s^2=0

We multiply all the terms by the denominator


(-4032s^2)+6912s+(-6804s)=0

We get rid of parentheses

-4032s^2+6912s-6804s=0

We add all the numbers together, and all the variables

-4032s^2+108s=0

a = -4032; b = 108; c = 0;
Δ = b2-4ac
Δ = 1082-4·(-4032)·0
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(108)-108}{2*-4032}=\frac{-216}{-8064}
=3/112
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(108)+108}{2*-4032}=\frac{0}{-8064}
=0
$