33x2-44x-6x=88

Solution for 33x2-44x-6x=88 equation:

33x^2-44x-6x=88

We move all terms to the left:

33x^2-44x-6x-(88)=0

We add all the numbers together, and all the variables

33x^2-50x-88=0

a = 33; b = -50; c = -88;
Δ = b2-4ac
Δ = -502-4·33·(-88)
Δ = 14116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{14116}=\sqrt{4*3529}=\sqrt{4}*\sqrt{3529}=2\sqrt{3529}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-2\sqrt{3529}}{2*33}=\frac{50-2\sqrt{3529}}{66}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+2\sqrt{3529}}{2*33}=\frac{50+2\sqrt{3529}}{66}
$