0=x^2+1506x+729

Solution for 0=x^2+1506x+729 equation:

0=x^2+1506x+729

We move all terms to the left:

0-(x^2+1506x+729)=0

We add all the numbers together, and all the variables

-(x^2+1506x+729)=0

We get rid of parentheses

-x^2-1506x-729=0

We add all the numbers together, and all the variables

-1x^2-1506x-729=0

a = -1; b = -1506; c = -729;
Δ = b2-4ac
Δ = -15062-4·(-1)·(-729)
Δ = 2265120
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:

$\sqrt{\Delta}=\sqrt{2265120}=\sqrt{17424*130}=\sqrt{17424}*\sqrt{130}=132\sqrt{130}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1506)-132\sqrt{130}}{2*-1}=\frac{1506-132\sqrt{130}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1506)+132\sqrt{130}}{2*-1}=\frac{1506+132\sqrt{130}}{-2}
$