7x/(x-12)=32-4x

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Solution for 7x/(x-12)=32-4x equation: 



7x/(x-12)=32-4x

We move all terms to the left:

7x/(x-12)-(32-4x)=0



Domain of the equation: (x-12)!=0

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

x!=12

x∈R



We add all the numbers together, and all the variables

7x/(x-12)-(-4x+32)=0

We get rid of parentheses

7x/(x-12)+4x-32=0

We multiply all the terms by the denominator


7x+4x*(x-12)-32*(x-12)=0

We multiply parentheses

4x^2+7x-48x-32x+384=0

We add all the numbers together, and all the variables

4x^2-73x+384=0

a = 4; b = -73; c = +384;
Δ = b2-4ac
Δ = -732-4·4·384
Δ = -815
Delta is less than zero, so there is no solution for the equation

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