x(2x-1)=1950

Solution for x(2x-1)=1950 equation:

x(2x-1)=1950

We move all terms to the left:

x(2x-1)-(1950)=0

We multiply parentheses

2x^2-1x-1950=0

a = 2; b = -1; c = -1950;
Δ = b2-4ac
Δ = -12-4·2·(-1950)
Δ = 15601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{15601}}{2*2}=\frac{1-\sqrt{15601}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{15601}}{2*2}=\frac{1+\sqrt{15601}}{4}
$