(2*x-5)*x=44

Solution for (2*x-5)*x=44 equation:

(2x-5)*x=44

We move all terms to the left:

(2x-5)*x-(44)=0

We multiply parentheses

2x^2-5x-44=0

a = 2; b = -5; c = -44;
Δ = b2-4ac
Δ = -52-4·2·(-44)
Δ = 377
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{-(-5)-\sqrt{377}}{2*2}=\frac{5-\sqrt{377}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{377}}{2*2}=\frac{5+\sqrt{377}}{4}
$