X2+4x+12=2x+20

Solution for X2+4x+12=2x+20 equation:

X2+4X+12=2X+20

We move all terms to the left:

X2+4X+12-(2X+20)=0

We add all the numbers together, and all the variables

X^2+4X-(2X+20)+12=0

We get rid of parentheses

X^2+4X-2X-20+12=0

We add all the numbers together, and all the variables

X^2+2X-8=0

a = 1; b = 2; c = -8;
Δ = b2-4ac
Δ = 22-4·1·(-8)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-6}{2*1}=\frac{-8}{2}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+6}{2*1}=\frac{4}{2}
=2
$