10m^2+30m=30

Solution for 10m^2+30m=30 equation:

10m^2+30m=30

We move all terms to the left:

10m^2+30m-(30)=0

a = 10; b = 30; c = -30;
Δ = b2-4ac
Δ = 302-4·10·(-30)
Δ = 2100
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:

$\sqrt{\Delta}=\sqrt{2100}=\sqrt{100*21}=\sqrt{100}*\sqrt{21}=10\sqrt{21}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10\sqrt{21}}{2*10}=\frac{-30-10\sqrt{21}}{20}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10\sqrt{21}}{2*10}=\frac{-30+10\sqrt{21}}{20}
$