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

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

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

We move all terms to the left:

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

We get rid of parentheses

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
$