8+2X(x+4)=36

Solution for 8+2X(x+4)=36 equation:

8+2X(X+4)=36

We move all terms to the left:

8+2X(X+4)-(36)=0

We add all the numbers together, and all the variables

2X(X+4)-28=0

We multiply parentheses

2X^2+8X-28=0

a = 2; b = 8; c = -28;
Δ = b2-4ac
Δ = 82-4·2·(-28)
Δ = 288
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-12\sqrt{2}}{2*2}=\frac{-8-12\sqrt{2}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+12\sqrt{2}}{2*2}=\frac{-8+12\sqrt{2}}{4}
$