It seems like there might be a mistake in the expression you provided. It's not clear where the "75x 2 −36x+7" part fits in.

However, if you meant "5x^2 - 36x + 75", here's how you would factor it:

1. First, identify the coefficients in the quadratic equation. In this case, a = 5, b = -36, and c = 75.

2. Next, find two numbers that multiply to a*c (which is 375) and add up to b (which is -36). The numbers that fit these criteria are -15 and -25.

3. Rewrite the middle term of the quadratic equation as the sum of the terms -15x and -25x. This gives us 5x^2 - 15x - 25x + 75.

4. Factor by grouping. The first two terms can be factored into 5x(x - 3), and the last two terms can be factored into -25(x - 3).

5. Since the terms in parentheses are the same, you can factor out an (x - 3), giving you (5x - 25)(x - 3).

6. Finally, you can simplify the first term to 5(x - 5), giving you the completely factored form of the equation: 5(x - 5)(x - 3).

Question

It seems like there might be a mistake in the expression you provided. It's not clear where the "75x 2 −36x+7" part fits in.

However, if you meant "5x^2 - 36x + 75", here's how you would factor it:

1. First, identify the coefficients in the quadratic equation. In this case, a = 5, b = -36, and c = 75.

2. Next, find two numbers that multiply to a*c (which is 375) and add up to b (which is -36). The numbers that fit these criteria are -15 and -25.

3. Rewrite the middle term of the quadratic equation as the sum of the terms -15x and -25x. This gives us 5x^2 - 15x - 25x + 75.

4. Factor by grouping. The first two terms can be factored into 5x(x - 3), and the last two terms can be factored into -25(x - 3).

5. Since the terms in parentheses are the same, you can factor out an (x - 3), giving you (5x - 25)(x - 3).

6. Finally, you can simplify the first term to 5(x - 5), giving you the completely factored form of the equation: 5(x - 5)(x - 3).

Knowee AI · Accepted Answer