-2x^2-2656x-261294=532298

Solution for -2x^2-2656x-261294=532298 equation:

-2x^2-2656x-261294=532298

We move all terms to the left:

-2x^2-2656x-261294-(532298)=0

We add all the numbers together, and all the variables

-2x^2-2656x-793592=0

a = -2; b = -2656; c = -793592;
Δ = b2-4ac
Δ = -26562-4·(-2)·(-793592)
Δ = 705600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{705600}=840$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2656)-840}{2*-2}=\frac{1816}{-4}
=-454
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2656)+840}{2*-2}=\frac{3496}{-4}
=-874
$