-20x^2-73x-63=0

Solution for -20x^2-73x-63=0 equation:

-20x^2-73x-63=0

a = -20; b = -73; c = -63;
Δ = b2-4ac
Δ = -732-4·(-20)·(-63)
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-73)-17}{2*-20}=\frac{56}{-40}
=-1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+17}{2*-20}=\frac{90}{-40}
=-2+1/4
$