6(m2)-9(56m)=39

Solution for 6(m2)-9(56m)=39 equation:

6(m2)-9(56m)=39

We move all terms to the left:

6(m2)-9(56m)-(39)=0

We add all the numbers together, and all the variables

6m^2-956m-39=0

a = 6; b = -956; c = -39;
Δ = b2-4ac
Δ = -9562-4·6·(-39)
Δ = 914872
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{914872}=\sqrt{3844*238}=\sqrt{3844}*\sqrt{238}=62\sqrt{238}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-956)-62\sqrt{238}}{2*6}=\frac{956-62\sqrt{238}}{12}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-956)+62\sqrt{238}}{2*6}=\frac{956+62\sqrt{238}}{12}
$