(10x+9)/(7-4x)=x

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Solution for (10x+9)/(7-4x)=x equation: 



(10x+9)/(7-4x)=x

We move all terms to the left:

(10x+9)/(7-4x)-(x)=0



Domain of the equation: (7-4x)!=0

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

-4x!=-7

x!=-7/-4

x!=1+3/4

x∈R



We add all the numbers together, and all the variables

(10x+9)/(-4x+7)-x=0

We add all the numbers together, and all the variables

-1x+(10x+9)/(-4x+7)=0

We multiply all the terms by the denominator


-1x*(-4x+7)+(10x+9)=0

We multiply parentheses

4x^2-7x+(10x+9)=0

We get rid of parentheses

4x^2-7x+10x+9=0

We add all the numbers together, and all the variables

4x^2+3x+9=0

a = 4; b = 3; c = +9;
Δ = b2-4ac
Δ = 32-4·4·9
Δ = -135
Delta is less than zero, so there is no solution for the equation

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