0/x=x+15

Solution for 0/x=x+15 equation:

0/x=x+15

We move all terms to the left:

0/x-(x+15)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

0/x-x-15=0

We multiply all the terms by the denominator


-x*x-15*x+0=0

We add all the numbers together, and all the variables

-15x-x*x=0

Wy multiply elements

-1x^2-15x=0

a = -1; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·(-1)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*-1}=\frac{30}{-2}
=-15
$