-13-1/2s=11/12s+2

Solution for -13-1/2s=11/12s+2 equation:

-13-1/2s=11/12s+2

We move all terms to the left:

-13-1/2s-(11/12s+2)=0


Domain of the equation: 2s!=0

s!=0/2

s!=0

s∈R



Domain of the equation: 12s+2)!=0

s∈R


We get rid of parentheses

-1/2s-11/12s-2-13=0

We calculate fractions


(-12s)/24s^2+(-22s)/24s^2-2-13=0

We add all the numbers together, and all the variables

(-12s)/24s^2+(-22s)/24s^2-15=0

We multiply all the terms by the denominator


(-12s)+(-22s)-15*24s^2=0

Wy multiply elements

-360s^2+(-12s)+(-22s)=0

We get rid of parentheses

-360s^2-12s-22s=0

We add all the numbers together, and all the variables

-360s^2-34s=0

a = -360; b = -34; c = 0;
Δ = b2-4ac
Δ = -342-4·(-360)·0
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-34}{2*-360}=\frac{0}{-720}
=0
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+34}{2*-360}=\frac{68}{-720}
=-17/180
$