40a^2-335a-225=0

Solution for 40a^2-335a-225=0 equation:

40a^2-335a-225=0

a = 40; b = -335; c = -225;
Δ = b2-4ac
Δ = -3352-4·40·(-225)
Δ = 148225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{148225}=385$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-335)-385}{2*40}=\frac{-50}{80}
=-5/8
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-335)+385}{2*40}=\frac{720}{80}
=9
$