33x=44x^2

Solution for 33x=44x^2 equation:

33x=44x^2

We move all terms to the left:

33x-(44x^2)=0

determiningTheFunctionDomain
-44x^2+33x=0

a = -44; b = 33; c = 0;
Δ = b2-4ac
Δ = 332-4·(-44)·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-33}{2*-44}=\frac{-66}{-88}
=3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+33}{2*-44}=\frac{0}{-88}
=0
$