Y=(20000+20000x)*1.04x

Solution for Y=(20000+20000x)*1.04x equation:

=(20000+20000Y)*1.04Y

We move all terms to the left:

-((20000+20000Y)*1.04Y)=0

We add all the numbers together, and all the variables

-((20000Y+20000)*1.04Y)=0


We calculate terms in parentheses: -((20000Y+20000)*1.04Y), so:

(20000Y+20000)*1.04Y

We multiply parentheses

20000Y^2+20000Y

Back to the equation:

-(20000Y^2+20000Y)


We get rid of parentheses

-20000Y^2-20000Y=0

a = -20000; b = -20000; c = 0;
Δ = b2-4ac
Δ = -200002-4·(-20000)·0
Δ = 400000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400000000}=20000$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20000)-20000}{2*-20000}=\frac{0}{-40000}
=0
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20000)+20000}{2*-20000}=\frac{40000}{-40000}
=-1
$