300/(10-5x)=x

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Solution for 300/(10-5x)=x equation: 



300/(10-5x)=x

We move all terms to the left:

300/(10-5x)-(x)=0



Domain of the equation: (10-5x)!=0

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

-5x!=-10

x!=-10/-5

x!=+2

x∈R



We add all the numbers together, and all the variables

300/(-5x+10)-x=0

We add all the numbers together, and all the variables

-1x+300/(-5x+10)=0

We multiply all the terms by the denominator


-1x*(-5x+10)+300=0

We multiply parentheses

5x^2-10x+300=0

a = 5; b = -10; c = +300;
Δ = b2-4ac
Δ = -102-4·5·300
Δ = -5900
Delta is less than zero, so there is no solution for the equation

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