6m^2-24m=30

Solution for 6m^2-24m=30 equation:

6m^2-24m=30

We move all terms to the left:

6m^2-24m-(30)=0

a = 6; b = -24; c = -30;
Δ = b2-4ac
Δ = -242-4·6·(-30)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-36}{2*6}=\frac{-12}{12}
=-1
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+36}{2*6}=\frac{60}{12}
=5
$