5m^2-30m-30=0

Solution for 5m^2-30m-30=0 equation:

5m^2-30m-30=0

a = 5; b = -30; c = -30;
Δ = b2-4ac
Δ = -302-4·5·(-30)
Δ = 1500
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:

$\sqrt{\Delta}=\sqrt{1500}=\sqrt{100*15}=\sqrt{100}*\sqrt{15}=10\sqrt{15}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10\sqrt{15}}{2*5}=\frac{30-10\sqrt{15}}{10}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10\sqrt{15}}{2*5}=\frac{30+10\sqrt{15}}{10}
$