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For what value of x is the equation x^2 + 12x + 35 equal to 0?

  1. -6

  2. -3

  3. 3

  4. 6

The correct answer is: -3

In this equation, the coefficient of x^2 is 1, the coefficient of x is 12, and the constant term is 35. To find the value of x that will make the equation equal to 0, we need to factor the equation. We can determine the factors of 35 and find the pair that adds up to 12. The factors of 35 are 1, 5, 7, and 35. The pair that adds up to 12 is 7 and 5. Therefore, the equation can be factored as (x + 7)(x + 5) = 0. Setting each factor to 0, we get x = -7 or x = -5. However, we need to keep in mind that the equation is asking for the value of x, not the constant term in the factors. Therefore, the correct