Factor completely.5, x, squared, plus, 14, x, plus, 95x 2 +14x+9

The expression you provided seems to be a bit unclear, but I'm assuming you're asking to factor the quadratic equation 5x^2 + 14x + 9.

Here are the steps to factor this equation:

1. Identify the coefficients of the quadratic equation. In this case, a = 5, b = 14, and c = 9.

2. Find two numbers that multiply to give ac (a times c), and add to give b. In this case, ac = 5 * 9 = 45, and we need two numbers that multiply to give 45 and add to give 14. These numbers are 5 and 9.

3. Rewrite the middle term (14x) as the sum of the terms 5x and 9x. This gives us the equation 5x^2 + 5x + 9x + 9.

4. Factor by grouping. The first two terms (5x^2 + 5x) can be factored to give 5x(x + 1), and the last two terms (9x + 9) can be factored to give 9(x + 1).

5. Since the expressions in the parentheses are the same (x + 1), we can factor out this common factor to give the final factored form of the equation: (5x + 9)(x + 1).

So, the factored form of the equation 5x^2 + 14x + 9 is (5x + 9)(x + 1).