F+4/6g=6g

Solution for F+4/6g=6g equation:

+4/6F=6F

We move all terms to the left:

+4/6F-(6F)=0


Domain of the equation: 6F!=0

F!=0/6

F!=0

F∈R


We add all the numbers together, and all the variables

-6F+4/6F=0

We multiply all the terms by the denominator


-6F*6F+4=0

Wy multiply elements

-36F^2+4=0

a = -36; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-36)·4
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-36}=\frac{-24}{-72}
=1/3
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-36}=\frac{24}{-72}
=-1/3
$