8+3x2+2x=30

Solution for 8+3x2+2x=30 equation:

8+3x^2+2x=30

We move all terms to the left:

8+3x^2+2x-(30)=0

We add all the numbers together, and all the variables

3x^2+2x-22=0

a = 3; b = 2; c = -22;
Δ = b2-4ac
Δ = 22-4·3·(-22)
Δ = 268
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:

$\sqrt{\Delta}=\sqrt{268}=\sqrt{4*67}=\sqrt{4}*\sqrt{67}=2\sqrt{67}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{67}}{2*3}=\frac{-2-2\sqrt{67}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{67}}{2*3}=\frac{-2+2\sqrt{67}}{6}
$