5600=x+4/5x

Solution for 5600=x+4/5x equation:

5600=x+4/5x

We move all terms to the left:

5600-(x+4/5x)=0


Domain of the equation: 5x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x+4/5x)+5600=0

We get rid of parentheses

-x-4/5x+5600=0

We multiply all the terms by the denominator


-x*5x+5600*5x-4=0

Wy multiply elements

-5x^2+28000x-4=0

a = -5; b = 28000; c = -4;
Δ = b2-4ac
Δ = 280002-4·(-5)·(-4)
Δ = 783999920
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{783999920}=\sqrt{16*48999995}=\sqrt{16}*\sqrt{48999995}=4\sqrt{48999995}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28000)-4\sqrt{48999995}}{2*-5}=\frac{-28000-4\sqrt{48999995}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28000)+4\sqrt{48999995}}{2*-5}=\frac{-28000+4\sqrt{48999995}}{-10}
$