0=5m^2-3m-14

Solution for 0=5m^2-3m-14 equation:

0=5m^2-3m-14

We move all terms to the left:

0-(5m^2-3m-14)=0

We add all the numbers together, and all the variables

-(5m^2-3m-14)=0

We get rid of parentheses

-5m^2+3m+14=0

a = -5; b = 3; c = +14;
Δ = b2-4ac
Δ = 32-4·(-5)·14
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-17}{2*-5}=\frac{-20}{-10}
=+2
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+17}{2*-5}=\frac{14}{-10}
=-1+2/5
$