6m^2+30m-36=0

Solution for 6m^2+30m-36=0 equation:

6m^2+30m-36=0

a = 6; b = 30; c = -36;
Δ = b2-4ac
Δ = 302-4·6·(-36)
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-42}{2*6}=\frac{-72}{12}
=-6
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+42}{2*6}=\frac{12}{12}
=1
$