7a^2-44a-35=0

Solution for 7a^2-44a-35=0 equation:

7a^2-44a-35=0

a = 7; b = -44; c = -35;
Δ = b2-4ac
Δ = -442-4·7·(-35)
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-54}{2*7}=\frac{-10}{14}
=-5/7
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+54}{2*7}=\frac{98}{14}
=7
$