-49/x=x+14

Solution for -49/x=x+14 equation:

-49/x=x+14

We move all terms to the left:

-49/x-(x+14)=0


Domain of the equation: x!=0

x∈R


We get rid of parentheses

-49/x-x-14=0

We multiply all the terms by the denominator


-x*x-14*x-49=0

We add all the numbers together, and all the variables

-14x-x*x-49=0

Wy multiply elements

-1x^2-14x-49=0

a = -1; b = -14; c = -49;
Δ = b2-4ac
Δ = -142-4·(-1)·(-49)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{14}{-2}=-7$