5/x+4-4/x-4=3x/2x-16

Solution for 5/x+4-4/x-4=3x/2x-16 equation:

5/x+4-4/x-4=3x/2x-16

We move all terms to the left:

5/x+4-4/x-4-(3x/2x-16)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x-16)!=0

x∈R


We add all the numbers together, and all the variables

5/x-4/x-(3x/2x-16)=0

We get rid of parentheses

5/x-4/x-3x/2x+16=0

We calculate fractions


(-3x^2)/2x^2+(-8x+5)/2x^2+16=0

We multiply all the terms by the denominator


(-3x^2)+(-8x+5)+16*2x^2=0

Wy multiply elements

(-3x^2)+32x^2+(-8x+5)=0

We get rid of parentheses

-3x^2+32x^2-8x+5=0

We add all the numbers together, and all the variables

29x^2-8x+5=0

a = 29; b = -8; c = +5;
Δ = b2-4ac
Δ = -82-4·29·5
Δ = -516
Delta is less than zero, so there is no solution for the equation