9000x^2=15000+6000x

Solution for 9000x^2=15000+6000x equation:

9000x^2=15000+6000x

We move all terms to the left:

9000x^2-(15000+6000x)=0

We add all the numbers together, and all the variables

9000x^2-(6000x+15000)=0

We get rid of parentheses

9000x^2-6000x-15000=0

a = 9000; b = -6000; c = -15000;
Δ = b2-4ac
Δ = -60002-4·9000·(-15000)
Δ = 576000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576000000}=24000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6000)-24000}{2*9000}=\frac{-18000}{18000}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6000)+24000}{2*9000}=\frac{30000}{18000}
=1+2/3
$