x=44x^2-5x

Solution for x=44x^2-5x equation:

x=44x^2-5x

We move all terms to the left:

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

We get rid of parentheses

-44x^2+x+5x=0

We add all the numbers together, and all the variables

-44x^2+6x=0

a = -44; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-44)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-44}=\frac{-12}{-88}
=3/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-44}=\frac{0}{-88}
=0
$