Factor.x, squared, plus, 15, x, plus, 50x 2 +15x+50

The expression you provided seems to be a quadratic equation. However, there seems to be a typo in your equation. It should probably be "x squared, plus 15x, plus 50" which translates to "x^2 + 15x + 50".

Here are the steps to factorize the quadratic equation:

1. Identify the coefficients of the quadratic equation. In this case, a = 1 (coefficient of x^2), b = 15 (coefficient of x), and c = 50 (constant term).

2. We need to find two numbers that multiply to give ac (ac = 150 = 50) and add up to give b (b = 15). The numbers that satisfy these conditions are 10 and 5 because 10*5 = 50 and 10 + 5 = 15.

3. Rewrite the middle term of the quadratic equation as the sum of the terms 10x and 5x. This gives us x^2 + 10x + 5x + 50.

4. Factor by grouping. The first two terms can be grouped together, and the last two terms can be grouped together. This gives us x(x + 10) + 5(x + 10).

5. Notice that (x + 10) is a common factor. Factor out this term to get (x + 10)(x + 5).

So, the factorized form of the equation x^2 + 15x + 50 is (x + 10)(x + 5).