2+8x=50+x2-6x

Solution for 2+8x=50+x2-6x equation:

2+8x=50+x2-6x

We move all terms to the left:

2+8x-(50+x2-6x)=0

We add all the numbers together, and all the variables

-(+x^2-6x+50)+8x+2=0

We get rid of parentheses

-x^2+6x+8x-50+2=0

We add all the numbers together, and all the variables

-1x^2+14x-48=0

a = -1; b = 14; c = -48;
Δ = b2-4ac
Δ = 142-4·(-1)·(-48)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2}{2*-1}=\frac{-16}{-2}
=+8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2}{2*-1}=\frac{-12}{-2}
=+6
$