x(2x-1)=1601155

Solution for x(2x-1)=1601155 equation:

x(2x-1)=1601155

We move all terms to the left:

x(2x-1)-(1601155)=0

We multiply parentheses

2x^2-1x-1601155=0

a = 2; b = -1; c = -1601155;
Δ = b2-4ac
Δ = -12-4·2·(-1601155)
Δ = 12809241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12809241}=3579$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-3579}{2*2}=\frac{-3578}{4}
=-894+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+3579}{2*2}=\frac{3580}{4}
=895
$