6a^2=28-2a

Solution for 6a^2=28-2a equation:

6a^2=28-2a

We move all terms to the left:

6a^2-(28-2a)=0

We add all the numbers together, and all the variables

6a^2-(-2a+28)=0

We get rid of parentheses

6a^2+2a-28=0

a = 6; b = 2; c = -28;
Δ = b2-4ac
Δ = 22-4·6·(-28)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-26}{2*6}=\frac{-28}{12}
=-2+1/3
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+26}{2*6}=\frac{24}{12}
=2
$