12x^2-31x-30=0

Solution for 12x^2-31x-30=0 equation:

12x^2-31x-30=0

a = 12; b = -31; c = -30;
Δ = b2-4ac
Δ = -312-4·12·(-30)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-49}{2*12}=\frac{-18}{24}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+49}{2*12}=\frac{80}{24}
=3+1/3
$