Factor completely.5, x, squared, plus, 2, x, minus, 75x 2 +2x−7

It seems like there might be a mistake in the equation you provided. It's not clear where the "minus 75" fits in.

However, if the equation is 5x^2 + 2x - 7, here's how you would factor it:

1. First, we need to find two numbers that multiply to (5*-7)=-35 and add to 2. Unfortunately, there are no such numbers.

2. Therefore, the equation 5x^2 + 2x - 7 cannot be factored using integers.

If the equation is 5x^2 + 77x - 7, here's how you would factor it:

1. First, we need to find two numbers that multiply to (5*-7)=-35 and add to 77. The numbers 70 and 7 fit these criteria.

2. Rewrite the middle term as the sum of the terms 70x and 7x: 5x^2 + 70x + 7x - 7.

3. Factor by grouping: 5x(x + 14) + 1(x + 14).

4. Since the terms in parentheses are the same, you can factor them out: (5x + 1)(x + 14).

So, the factored form of the equation 5x^2 + 77x - 7 is (5x + 1)(x + 14).