15a^2-11a-14=0

Solution for 15a^2-11a-14=0 equation:

15a^2-11a-14=0

a = 15; b = -11; c = -14;
Δ = b2-4ac
Δ = -112-4·15·(-14)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-31}{2*15}=\frac{-20}{30}
=-2/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+31}{2*15}=\frac{42}{30}
=1+2/5
$