40x^2-46x-14=0

Solution for 40x^2-46x-14=0 equation:

40x^2-46x-14=0

a = 40; b = -46; c = -14;
Δ = b2-4ac
Δ = -462-4·40·(-14)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-66}{2*40}=\frac{-20}{80}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+66}{2*40}=\frac{112}{80}
=1+2/5
$