7.94x^2+33.2x-3810=0

Solution for 7.94x^2+33.2x-3810=0 equation:

7.94x^2+33.2x-3810=0

a = 7.94; b = 33.2; c = -3810;
Δ = b2-4ac
Δ = 33.22-4·7.94·(-3810)
Δ = 122107.84
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33.2)-\sqrt{122107.84}}{2*7.94}=\frac{-33.2-\sqrt{122107.84}}{15.88}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33.2)+\sqrt{122107.84}}{2*7.94}=\frac{-33.2+\sqrt{122107.84}}{15.88}
$