50x2-25x-12=0

Solution for 50x2-25x-12=0 equation:

50x^2-25x-12=0

a = 50; b = -25; c = -12;
Δ = b2-4ac
Δ = -252-4·50·(-12)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-55}{2*50}=\frac{-30}{100}
=-3/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+55}{2*50}=\frac{80}{100}
=4/5
$