(-5/9)s=-15

Solution for (-5/9)s=-15 equation:

(-5/9)s=-15

We move all terms to the left:

(-5/9)s-(-15)=0


Domain of the equation: 9)s!=0

s!=0/1

s!=0

s∈R


We add all the numbers together, and all the variables

(-5/9)s+15=0

We multiply parentheses

-5s^2+15=0

a = -5; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-5)·15
Δ = 300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{300}=\sqrt{100*3}=\sqrt{100}*\sqrt{3}=10\sqrt{3}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{3}}{2*-5}=\frac{0-10\sqrt{3}}{-10}
=-\frac{10\sqrt{3}}{-10}
=-\frac{\sqrt{3}}{-1}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{3}}{2*-5}=\frac{0+10\sqrt{3}}{-10}
=\frac{10\sqrt{3}}{-10}
=\frac{\sqrt{3}}{-1}
$