2/4g+1/2g=14

Solution for 2/4g+1/2g=14 equation:

2/4g+1/2g=14

We move all terms to the left:

2/4g+1/2g-(14)=0


Domain of the equation: 4g!=0

g!=0/4

g!=0

g∈R



Domain of the equation: 2g!=0

g!=0/2

g!=0

g∈R


We calculate fractions


4g/8g^2+4g/8g^2-14=0

We multiply all the terms by the denominator


4g+4g-14*8g^2=0

We add all the numbers together, and all the variables

8g-14*8g^2=0

Wy multiply elements

-112g^2+8g=0

a = -112; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-112)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-112}=\frac{-16}{-224}
=1/14
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-112}=\frac{0}{-224}
=0
$