4(g+2)8g=56

Solution for 4(g+2)8g=56 equation:

4(g+2)8g=56

We move all terms to the left:

4(g+2)8g-(56)=0

We multiply parentheses

32g^2+64g-56=0

a = 32; b = 64; c = -56;
Δ = b2-4ac
Δ = 642-4·32·(-56)
Δ = 11264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11264}=\sqrt{1024*11}=\sqrt{1024}*\sqrt{11}=32\sqrt{11}$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(64)-32\sqrt{11}}{2*32}=\frac{-64-32\sqrt{11}}{64}
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(64)+32\sqrt{11}}{2*32}=\frac{-64+32\sqrt{11}}{64}
$