7m^2-7m-210=0

Solution for 7m^2-7m-210=0 equation:

7m^2-7m-210=0

a = 7; b = -7; c = -210;
Δ = b2-4ac
Δ = -72-4·7·(-210)
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-77}{2*7}=\frac{-70}{14}
=-5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+77}{2*7}=\frac{84}{14}
=6
$