7x^2-178x-297=0

Solution for 7x^2-178x-297=0 equation:

7x^2-178x-297=0

a = 7; b = -178; c = -297;
Δ = b2-4ac
Δ = -1782-4·7·(-297)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-178)-200}{2*7}=\frac{-22}{14}
=-1+4/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-178)+200}{2*7}=\frac{378}{14}
=27
$