525=x+2/3x

Solution for 525=x+2/3x equation:

525=x+2/3x

We move all terms to the left:

525-(x+2/3x)=0


Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+x+2/3x)+525=0

We get rid of parentheses

-x-2/3x+525=0

We multiply all the terms by the denominator


-x*3x+525*3x-2=0

Wy multiply elements

-3x^2+1575x-2=0

a = -3; b = 1575; c = -2;
Δ = b2-4ac
Δ = 15752-4·(-3)·(-2)
Δ = 2480601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1575)-\sqrt{2480601}}{2*-3}=\frac{-1575-\sqrt{2480601}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1575)+\sqrt{2480601}}{2*-3}=\frac{-1575+\sqrt{2480601}}{-6}
$