25/x=10-x

Solution for 25/x=10-x equation:

25/x=10-x

We move all terms to the left:

25/x-(10-x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

25/x-(-1x+10)=0

We get rid of parentheses

25/x+1x-10=0

We multiply all the terms by the denominator


1x*x-10*x+25=0

We add all the numbers together, and all the variables

-10x+1x*x+25=0

Wy multiply elements

x^2-10x+25=0

a = 1; b = -10; c = +25;
Δ = b2-4ac
Δ = -102-4·1·25
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{10}{2}=5$