764,000=2x^2+18x+324

Solution for 764,000=2x^2+18x+324 equation:

764.000=2x^2+18x+324

We move all terms to the left:

764.000-(2x^2+18x+324)=0

We add all the numbers together, and all the variables

-(2x^2+18x+324)+764=0

We get rid of parentheses

-2x^2-18x-324+764=0

We add all the numbers together, and all the variables

-2x^2-18x+440=0

a = -2; b = -18; c = +440;
Δ = b2-4ac
Δ = -182-4·(-2)·440
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-62}{2*-2}=\frac{-44}{-4}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+62}{2*-2}=\frac{80}{-4}
=-20
$