20x2+-21x-12=x

Solution for 20x2+-21x-12=x equation:

20x^2+-21x-12=x

We move all terms to the left:

20x^2+-21x-12-(x)=0

We add all the numbers together, and all the variables

20x^2-22x=0

a = 20; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·20·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-22}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+22}{2*20}=\frac{44}{40}
=1+1/10
$