We are asked to solve the quadratic equations in the image. Let's solve problem 5. The equation is $6m^2 + 12m - 48 = 0$.

1. Problem Description

We are asked to solve the quadratic equations in the image. Let's solve problem

5. The equation is $6m^2 + 12m - 48 = 0$.

2. Solution Steps

First, we can simplify the equation by dividing all terms by 6:

$m^2 + 2m - 8 = 0$

Now, we can factor the quadratic equation:

$(m + 4)(m - 2) = 0$

Setting each factor to zero, we get:

$m + 4 = 0$ or $m - 2 = 0$

Solving for $m$:

$m = -4$ or $m = 2$

3. Final Answer

The solutions for $m$ are $m = -4$ and $m = 2$.