6a^2=-48-44a

Solution for 6a^2=-48-44a equation:

6a^2=-48-44a

We move all terms to the left:

6a^2-(-48-44a)=0

We add all the numbers together, and all the variables

6a^2-(-44a-48)=0

We get rid of parentheses

6a^2+44a+48=0

a = 6; b = 44; c = +48;
Δ = b2-4ac
Δ = 442-4·6·48
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-28}{2*6}=\frac{-72}{12}
=-6
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+28}{2*6}=\frac{-16}{12}
=-1+1/3
$