30+8m=6m^2

Solution for 30+8m=6m^2 equation:

30+8m=6m^2

We move all terms to the left:

30+8m-(6m^2)=0

determiningTheFunctionDomain
-6m^2+8m+30=0

a = -6; b = 8; c = +30;
Δ = b2-4ac
Δ = 82-4·(-6)·30
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-28}{2*-6}=\frac{-36}{-12}
=+3
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+28}{2*-6}=\frac{20}{-12}
=-1+2/3
$