15/(x+6)=15/x+7

Solution for 15/(x+6)=15/x+7 equation:

15/(x+6)=15/x+7

We move all terms to the left:

15/(x+6)-(15/x+7)=0


Domain of the equation: (x+6)!=0

We move all terms containing x to the left, all other terms to the right

x!=-6

x∈R



Domain of the equation: x+7)!=0

x∈R


We get rid of parentheses

15/(x+6)-15/x-7=0

We calculate fractions


15x/(x^2+6x)+(-15x-90)/(x^2+6x)-7=0

We multiply all the terms by the denominator


15x+(-15x-90)-7*(x^2+6x)=0

We multiply parentheses

-7x^2+15x+(-15x-90)-42x=0

We get rid of parentheses

-7x^2+15x-15x-42x-90=0

We add all the numbers together, and all the variables

-7x^2-42x-90=0

a = -7; b = -42; c = -90;
Δ = b2-4ac
Δ = -422-4·(-7)·(-90)
Δ = -756
Delta is less than zero, so there is no solution for the equation