80+2-x2=x

Solution for 80+2-x2=x equation:

80+2-x2=x

We move all terms to the left:

80+2-x2-(x)=0

We add all the numbers together, and all the variables

-1x^2-1x+82=0

a = -1; b = -1; c = +82;
Δ = b2-4ac
Δ = -12-4·(-1)·82
Δ = 329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{329}}{2*-1}=\frac{1-\sqrt{329}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{329}}{2*-1}=\frac{1+\sqrt{329}}{-2}
$