-12-31x=20x^2

Solution for -12-31x=20x^2 equation:

-12-31x=20x^2

We move all terms to the left:

-12-31x-(20x^2)=0

determiningTheFunctionDomain
-20x^2-31x-12=0

a = -20; b = -31; c = -12;
Δ = b2-4ac
Δ = -312-4·(-20)·(-12)
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-1}{2*-20}=\frac{30}{-40}
=-3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+1}{2*-20}=\frac{32}{-40}
=-4/5
$