-2x^2+3018x-373456=303324

Solution for -2x^2+3018x-373456=303324 equation:

-2x^2+3018x-373456=303324

We move all terms to the left:

-2x^2+3018x-373456-(303324)=0

We add all the numbers together, and all the variables

-2x^2+3018x-676780=0

a = -2; b = 3018; c = -676780;
Δ = b2-4ac
Δ = 30182-4·(-2)·(-676780)
Δ = 3694084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3694084}=1922$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3018)-1922}{2*-2}=\frac{-4940}{-4}
=+1235
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3018)+1922}{2*-2}=\frac{-1096}{-4}
=+274
$