7m^2+2m-24=0

Solution for 7m^2+2m-24=0 equation:

7m^2+2m-24=0

a = 7; b = 2; c = -24;
Δ = b2-4ac
Δ = 22-4·7·(-24)
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-26}{2*7}=\frac{-28}{14}
=-2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+26}{2*7}=\frac{24}{14}
=1+5/7
$