72x^2-12x-24=0

Solution for 72x^2-12x-24=0 equation:

72x^2-12x-24=0

a = 72; b = -12; c = -24;
Δ = b2-4ac
Δ = -122-4·72·(-24)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-84}{2*72}=\frac{-72}{144}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+84}{2*72}=\frac{96}{144}
=2/3
$