X=(600000+X)x0.25

Solution for X=(600000+X)x0.25 equation:

X=(600000+X)X0.25

We move all terms to the left:

X-((600000+X)X0.25)=0

We add all the numbers together, and all the variables

X-((X+600000)X0.25)=0


We calculate terms in parentheses: -((X+600000)X0.25), so:

(X+600000)X0.25

We multiply parentheses

X^2+600000X

Back to the equation:

-(X^2+600000X)


We get rid of parentheses

-X^2+X-600000X=0

We add all the numbers together, and all the variables

-1X^2-599999X=0

a = -1; b = -599999; c = 0;
Δ = b2-4ac
Δ = -5999992-4·(-1)·0
Δ = 359998800001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{359998800001}=599999$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-599999)-599999}{2*-1}=\frac{0}{-2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-599999)+599999}{2*-1}=\frac{1199998}{-2}
=-599999
$