3x with a 2 as an exponent + 8x=35

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