Respuesta :

Answer:

The roots are {-5, 7/3}.

Step-by-step explanation:

I am assuming you want to solve this for x.

3x^2 + 8x = 35

3x^2 + 8x - 35 = 0        Try factoring by the 'ac' method.

ac = 3 * -35 = - 105.

We need 2 numbers whose product is -105 and whose sum = + 8.

These are  +15 and  - 7, so we write:

3x^2 + 15x - 7x - 35 = 0      Now factor by grouping:

3x(x + 5) -7(x + 5) = 0          (x + 5) is common so:

(3x - 7)(x + 5) = 0

The roots are {-5, 7/3}.

It is (-5)(7/3) that’s the answer