12x^2+115x-50=0

Solution for 12x^2+115x-50=0 equation:

12x^2+115x-50=0

a = 12; b = 115; c = -50;
Δ = b2-4ac
Δ = 1152-4·12·(-50)
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(115)-125}{2*12}=\frac{-240}{24}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(115)+125}{2*12}=\frac{10}{24}
=5/12
$