0=5m^2-3m-1410

Solution for 0=5m^2-3m-1410 equation:

0=5m^2-3m-1410

We move all terms to the left:

0-(5m^2-3m-1410)=0

We add all the numbers together, and all the variables

-(5m^2-3m-1410)=0

We get rid of parentheses

-5m^2+3m+1410=0

a = -5; b = 3; c = +1410;
Δ = b2-4ac
Δ = 32-4·(-5)·1410
Δ = 28209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{28209}}{2*-5}=\frac{-3-\sqrt{28209}}{-10}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{28209}}{2*-5}=\frac{-3+\sqrt{28209}}{-10}
$