-2736x^2+382-92=0

Solution for -2736x^2+382-92=0 equation:

-2736x^2+382-92=0

We add all the numbers together, and all the variables

-2736x^2+290=0

a = -2736; b = 0; c = +290;
Δ = b2-4ac
Δ = 02-4·(-2736)·290
Δ = 3173760
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:

$\sqrt{\Delta}=\sqrt{3173760}=\sqrt{576*5510}=\sqrt{576}*\sqrt{5510}=24\sqrt{5510}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5510}}{2*-2736}=\frac{0-24\sqrt{5510}}{-5472}
=-\frac{24\sqrt{5510}}{-5472}
=-\frac{\sqrt{5510}}{-228}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5510}}{2*-2736}=\frac{0+24\sqrt{5510}}{-5472}
=\frac{24\sqrt{5510}}{-5472}
=\frac{\sqrt{5510}}{-228}
$