(4)/(4x-5)=-2x

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Solution for (4)/(4x-5)=-2x equation: 



(4)/(4x-5)=-2x

We move all terms to the left:

(4)/(4x-5)-(-2x)=0



Domain of the equation: (4x-5)!=0

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

4x!=5

x!=5/4

x!=1+1/4

x∈R



We get rid of parentheses

4/(4x-5)+2x=0

We multiply all the terms by the denominator


2x*(4x-5)+4=0

We multiply parentheses

8x^2-10x+4=0

a = 8; b = -10; c = +4;
Δ = b2-4ac
Δ = -102-4·8·4
Δ = -28
Delta is less than zero, so there is no solution for the equation

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