7x^2-196x-3360=0

Solution for 7x^2-196x-3360=0 equation:

7x^2-196x-3360=0

a = 7; b = -196; c = -3360;
Δ = b2-4ac
Δ = -1962-4·7·(-3360)
Δ = 132496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{132496}=364$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-196)-364}{2*7}=\frac{-168}{14}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-196)+364}{2*7}=\frac{560}{14}
=40
$