240x=11x2-44

Solution for 240x=11x2-44 equation:

240x=11x^2-44

We move all terms to the left:

240x-(11x^2-44)=0

We get rid of parentheses

-11x^2+240x+44=0

a = -11; b = 240; c = +44;
Δ = b2-4ac
Δ = 2402-4·(-11)·44
Δ = 59536
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{59536}=244$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(240)-244}{2*-11}=\frac{-484}{-22}
=+22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(240)+244}{2*-11}=\frac{4}{-22}
=-2/11
$