X+15/x=-8

Solution for X+15/x=-8 equation:

X+15/X=-8

We move all terms to the left:

X+15/X-(-8)=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X+15/X+8=0

We multiply all the terms by the denominator


X*X+8*X+15=0

We add all the numbers together, and all the variables

8X+X*X+15=0

Wy multiply elements

X^2+8X+15=0

a = 1; b = 8; c = +15;
Δ = b2-4ac
Δ = 82-4·1·15
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2}{2*1}=\frac{-10}{2}
=-5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2}{2*1}=\frac{-6}{2}
=-3
$