3m^2-13=-8-24m-2m^2

Solution for 3m^2-13=-8-24m-2m^2 equation:

3m^2-13=-8-24m-2m^2

We move all terms to the left:

3m^2-13-(-8-24m-2m^2)=0

We get rid of parentheses

3m^2+2m^2+24m+8-13=0

We add all the numbers together, and all the variables

5m^2+24m-5=0

a = 5; b = 24; c = -5;
Δ = b2-4ac
Δ = 242-4·5·(-5)
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{-(24)-26}{2*5}=\frac{-50}{10}
=-5
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+26}{2*5}=\frac{2}{10}
=1/5
$